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Hvordan løse likninger (flytte-bytte-regelen)

Tidligere har du sett at likningen må være i balanse. Det betyr at dersom du gjør noe på den ene siden, må du gjøre det samme på den andre siden. Når du ønsker å addere eller subtrahere bort et ledd på den ene siden av likningen for å få $x$ alene, gjør du som følger:

Eksempel 1

Subtraherer på begge sider

\begin{array}{l} x + 3 & = 5 \\ x + 3 - 3 & = 5 - 3 \\ x + 0 & = 2 \\ x & = 2 \end{array}

Du ønsker å bli kvitt

3

på VS. Hvis du trekker fra

3

på VS, forsvinner

3

-tallet.

3

-tallet du trakk fra på VS må du også trekke fra på HS. Dermed har

3

-tallet dukket opp på den andre siden av likhetstegnet, men med motsatt fortegn!

Eksempel 2

Adderer på begge sider

\begin{array}{l} x - 4 & = 9 \\ x - 4 + 4 & = 9 + 4 \\ x + 0 & = 13 \\ x & = 13 \end{array}

Du ønsker å bli blitt

- 4

på VS. Hvis du legger til

4

på VS, forsvinner

4

-tallet.

4

-tallet du la til på VS, må du også legge til på HS. Dermed har

4

-tallet dukket opp på den andre siden av likhetstegnet, men med motsatt fortegn!

Det finnes en lettere metode enn å trekke fra eller legge til på begge sider. Denne metoden kaller vi flytte/bytte.

Regel

Flytte/bytte-metoden

1.: Flytt det leddet du vil bli kvitt, over på andre siden av likhetstegnet.
2.: Bytt fortegn på dette leddet.

Eksempel 3

Pluss flytte/bytte til minus

\begin{array}{l} x + 3 & = 5 \\ x & = 5 - 3 \\ x & = 2 \end{array}

+ 3

blir flyttet over på HS av likningen. Vi bytter fortegn slik at

+ 3

blir til

- 3

Eksempel 4

Minus flytte/bytte til pluss

\begin{array}{l} x - 4 & = 9 \\ x & = 9 + 4 \\ x & = 13 \end{array}

- 4

blir flyttet over på HS av likningen. Vi bytter fortegn slik at

- 4

blir til

+ 4

Hvorfor kan du flytte/bytte?

Hvorfor er det slik at du bare kan flytte/bytte? Tenk deg at skålvekten er i balanse. Når du flytter et ledd over i den andre skålen, skulle en tro at den andre skålen blir mye tyngre. Men siden du bytter fortegn samtidig, blir det som om du fjerner eller legger til leddet fra den andre skålen også!

Tenk på dette

Flytte/bytte-regelen er en forenkling av å utføre den samme handlingen på begge sider av likhetstegnet. Matematikken er fantastisk på den måten – nye regler du lærer, gjør livet ditt enklere!

Eksempel 5

Løs likningen $x + 13 = 20$
$\begin{array}{l} x + 13 & = 20 \\ x & = 20 - 13 \\ x & = 7 \end{array}$

Eksempel 6

Løs likningen $x - 41 = 69$

\begin{array}{l} x - 41 = 69 x & = 69 + 41 x & = 110Eksempel 7 Løs likningen 2 x + 3 = 7 + x \begin{array}{l} 2 x + 3 = 7 + x 2 x - x & = 7 - 3 x & = 4Eksempel 8 Løs likningen 5 x - 11 = - 3 + 4 x \begin{array}{l} 5 x - 11 = - 3 + 4 x 5 x - 4 x & = - 3 + 11 x & = 8Vil du vite mer? Registrer deg Det er gratis!FerdigFortsettAktivitetssett 131Hvordan bli kvitt tallet foran x32Hvordan løse førstegradslikninger (kombinerte metoder)33Hvordan bli kvitt tall under x34Hvordan løse likninger med parenteser35Hvordan snu formlerAktivitetssett 136Hvordan løse andregradslikninger uten førstegradsledd37Hvordan løse andregradslikninger38Hvordan faktorisere andregradsuttrykk39Hva er polynomdivisjon?Aktivitetssett 140Hvordan løse tredje- og fjerdegradslikningerAktivitetssett 141Hva er et likningssett?42Hvordan fremstille likningssett grafisk43Hvordan løse likningssett grafiskAktivitetssett 144Hvordan løse likningssett med innsettingsmetoden45Hvordan løse likningssett med addisjonsmetoden46Hvordan løse ikke-lineære likningssettAktivitetssett 147Hvordan løse likningssett med flere ukjente48Hvordan løse likninger med tall i nevnerAktivitetssett 149Hvordan løse rasjonale likningerAktivitetssett 150Hva er irrasjonale likninger?51Hva er potenslikninger?Aktivitetssett 152Hvordan sette prøve på svaretAktivitetssett 153Hvordan sette opp en likning som beskriver oppgavenAktivitetssett 154Hva er nullfaktorregelen for likninger?Aktivitetssett 155Hvordan løse likninger med substitusjon56Hvordan løse likninger grafiskAktivitetssett 157Hvordan er en ulikhet i matte?Aktivitetssett 158Hvordan løse ulikheter grafiskAktivitetssett 159Hvordan bruke fortegnslinjer60Ulikheter og intervaller61Hvordan løse ulikheter av andre gradAktivitetssett 162Hvordan løse ulikheter av høyere grad63Hvordan løse rasjonale ulikheterAktivitetssett 164Hva er en logaritme?Aktivitetssett 165Hva er tallet e?Aktivitetssett 166Hva er den naturlige logaritmen?Aktivitetssett 167Hva er regnereglene for logaritmer?Aktivitetssett 168Hvordan løse eksponentiallikningerAktivitetssett 169Hvordan løse logaritmelikningerAktivitetssett 170Hvordan løse eksponentialulikheterAktivitetssett 171Hvordan løse logaritmeulikheterAktivitetssett 1Hjem Pensum Stats LigaAI Spør OrakeletAI Hva kan jeg hjelpe deg med? BetaOm oss Om House of Math Om ansatte Karriere Media Foredrag Blogg Kontakt support@houseofmath.com Booking av privatundervisning +47 22 150 300 Adresse Bygdøy allé 23
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            Norge FAQ Lenker ViTarAnsvar Mattemagi for Ukraina Privatundervisning Bootcamps Juniormatte Penn og papir-oppgaver Oppslagsverk Bestill privatundervisning Språk/pensum Vilkår Personvern Last ned appen vår{"props":{"pageProps":{"campaign":false,"pageData":{"activities":[],"chest":{},"content":[],"encyclopediaArticle":{"breadcrumbs":[{"_key":"c0cf1a4b-5f7d-5390-9a52-e6ae2428b50c","h1":"Oppslagsverk","path":"/encyclopedia"},{"_key":"e9327e4b-42fe-571b-bcb9-83fdb63d5f21","h1":"Algebra","path":"/encyclopedia/algebra"},{"_key":"9faec857-9072-56b8-92e1-75e2092c3bc2","h1":"Likninger og ulikheter","path":"/encyclopedia/algebra/likninger-og-ulikheter"},{"_key":"15d5204d-e9ab-55a5-838b-d0275f4dd196","h1":"Likninger","path":"/encyclopedia/algebra/likninger-og-ulikheter/likninger"},{"_key":"d8fe11bd-07bf-5d0c-b7bd-6c118b1bf347","h1":"Førstegradslikninger","path":"/encyclopedia/algebra/likninger-og-ulikheter/likninger/forstegradslikninger"},{"_key":"76f5f00f-1996-57cd-8e67-338460646cd9","h1":"Hvordan løse likninger (flytte-bytte-regelen)","path":"/encyclopedia/algebra/likninger-og-ulikheter/likninger/forstegradslikninger/hvordan-lose-likninger-flytte-bytte-regelen"}],"cssUrl":"/0e751716-e4cf-4658-ac87-c97d9167170e-no-3.css","h1":"Hvordan løse likninger (flytte-bytte-regelen)","htmlContent":{"html":" \u003c/p\u003e\u003cp class=\"indent\" \u003e     Tidligere har du sett at \u003ca href=\"/no/encyclopedia/algebra/likninger-og-ulikheter/likninger/forstegradslikninger/hva-er-en-likning\"\u003elikningen\u003c/a\u003e må være i balanse. Det betyr at dersom du gjør noe på den ene siden, må du gjøre det samme på den andre siden. Når du ønsker å addere eller subtrahere bort et ledd på den ene siden av likningen for å få \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/math\u003e alene, gjør du som følger: \u003c/p\u003e                                                                                                                                                                                                                                               \u003cdiv class=\"tcolorbox fooexample\" id=\"tcolobox-477\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Eksempel 1\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003ch3 class=\"example-container-title\"\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eSubtraherer\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003epå\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003ebegge\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003esider\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003e \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" \u003e\u003cmtable  displaystyle=\"true\" columnalign=\"left\" class=\"align-star\"\u003e                              \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mtd\u003e                                                \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                                \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\"align-label\"\u003e                                            \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003cmstyle mathcolor=\"#0056EB\"\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmstyle mathcolor=\"#0056EB\"\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                           \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\"align-label\"\u003e                                            \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e0\u003c/mn\u003e\u003c/mtd\u003e                                                \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                                \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\"align-label\"\u003e                                            \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                          \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                                \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\"align-label\"\u003e \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e Du ønsker å bli kvitt \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e på VS. Hvis du trekker fra \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e på VS, forsvinner \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e-tallet. \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e-tallet du trakk fra på VS må du også trekke fra på HS. Dermed har \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e-tallet dukket opp på den andre siden av likhetstegnet, men med motsatt fortegn!   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                         \u003cdiv class=\"tcolorbox fooexample\" id=\"tcolobox-478\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Eksempel 2\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003ch3 class=\"example-container-title\"\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eAdderer\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003epå\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003ebegge\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003esider\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003e \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" \u003e\u003cmtable  displaystyle=\"true\" columnalign=\"left\" class=\"align-star\"\u003e                              \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/mtd\u003e                                                \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" 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class=\"align-label\"\u003e \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e Du ønsker å bli blitt \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e på VS. Hvis du legger til \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e på VS, forsvinner \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e-tallet. \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e-tallet du la til på VS, må du også legge til på HS. Dermed har \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e-tallet dukket opp på den andre siden av likhetstegnet, men med motsatt fortegn!   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                    \u003cp class=\"indent\" \u003e     Det finnes en lettere metode enn å trekke fra eller legge til på begge sider. Denne metoden kaller vi \u003cspan  class=\"ec-lmri-12x-x-144\"\u003eflytte/bytte\u003c/span type=\"punct\"\u003e. \u003c/p\u003e      \u003cdiv class=\"tcolorbox foorule\" id=\"tcolobox-479\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Regel\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003ch3 class=\"rule-container-title\"\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eFlytte/bytte-metoden\u003c/span\u003e \u003c/h3\u003e      \u003c/p\u003e\u003cdl class=\"enumerate-enumitem\"\u003e\u003cdt class=\"enumerate-enumitem\"\u003e    1.  \u003c/dt\u003e\u003cdd  class=\"enumerate-enumitem\"\u003e         Flytt         det         leddet         du         vil         bli         kvitt,         over         på         andre         siden         av         likhetstegnet.         \u003c/dd\u003e\u003cdt class=\"enumerate-enumitem\"\u003e     2.  \u003c/dt\u003e\u003cdd  class=\"enumerate-enumitem\"\u003e         Bytt         fortegn         på         dette         leddet.         \u003c/dd\u003e\u003c/dl\u003e   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                                  \u003cdiv class=\"tcolorbox fooexample\" id=\"tcolobox-480\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Eksempel 3\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003ch3 class=\"example-container-title\"\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003ePluss\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eflytte/bytte\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003etil\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eminus\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003e \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" \u003e\u003cmtable  displaystyle=\"true\" columnalign=\"left\" class=\"align-star\"\u003e                               \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                                   \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\"align-label\"\u003e                                              \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                        \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmstyle mathcolor=\"#0056EB\"\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                             \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\"align-label\"\u003e                                              \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                        \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                                   \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\"align-label\"\u003e \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e blir flyttet over på HS av likningen. Vi bytter fortegn slik at \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e blir til \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/math type=\"punct\"\u003e.   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                         \u003cdiv class=\"tcolorbox fooexample\" id=\"tcolobox-481\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Eksempel 4\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003ch3 class=\"example-container-title\"\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eMinus\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eflytte/bytte\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003etil\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003epluss\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003e \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" \u003e\u003cmtable  displaystyle=\"true\" columnalign=\"left\" class=\"align-star\"\u003e                               \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e9\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                                   \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\"align-label\"\u003e                                              \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                        \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e9\u003c/mn\u003e\u003cmstyle mathcolor=\"#0056EB\"\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                             \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\"align-label\"\u003e                                              \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                        \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                                 \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\"align-label\"\u003e \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e blir flyttet over på HS av likningen. Vi bytter fortegn slik at \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e blir til \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math type=\"punct\"\u003e.   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                    \u003cp class=\"noindent\" \u003e \u003c/p\u003e \u003cp class=\"indent\" \u003e     \u003ch2 class=\"section-title\"\u003e \u003ca   id=\"x1-34000\"\u003e\u003c/a\u003eHvorfor kan du flytte/bytte?\u003c/h2\u003e \u003c/p\u003e\u003cp class=\"indent\" \u003e     Hvorfor er det slik at du bare kan flytte/bytte? Tenk deg at skålvekten er i balanse. Når du flytter et ledd over i den andre skålen, skulle en tro at den andre skålen blir mye tyngre. Men siden du bytter fortegn samtidig, blir det som om du fjerner eller legger til leddet fra den andre skålen også! \u003c/p\u003e      \u003cdiv class=\"tcolorbox foothink\" id=\"tcolobox-482\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Tenk på dette\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003eFlytte/bytte-regelen er en forenkling av å utføre den samme handlingen på begge sider av likhetstegnet. \u003c/p\u003e\u003cp class=\"noindent\" \u003eMatematikken er fantastisk på den måten – nye regler du lærer, gjør livet ditt enklere! \u003c/p\u003e  \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                  \u003c/p\u003e      \u003cdiv class=\"tcolorbox fooqaexample\" id=\"tcolobox-483\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e \u003cp class=\"indent\" \u003e     Eksempel 5\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003cb\u003e\u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eLøs likningen \u003c/span\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" mathvariant=\"bold-italic\"\u003e\u003cmtable  displaystyle=\"true\" columnalign=\"left\" class=\"align-star\"\u003e                                  \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                        \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-label\"\u003e                                  \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003cmstyle mathcolor=\"#0056EB\"\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                 \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-label\"\u003e                                  \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e7\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                         \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-label\"\u003e \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e   \u003c/div\u003e  \u003c/div\u003e \u003cp class=\"noindent\" \u003e\u003c/b\u003e \u003c/p\u003e                                                                                                                                                                                                                                               \u003cdiv class=\"tcolorbox fooqaexample\" id=\"tcolobox-484\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e \u003cp class=\"indent\" \u003e     Eksempel 6\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003cb\u003e\u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eLøs likningen \u003c/span\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmn\u003e1\u003c/mn\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e6\u003c/mn\u003e\u003cmn\u003e9\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" mathvariant=\"bold-italic\"\u003e\u003cmtable  displaystyle=\"true\" columnalign=\"left\" class=\"align-star\"\u003e                                  \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmn\u003e1\u003c/mn\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e6\u003c/mn\u003e\u003cmn\u003e9\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                        \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-label\"\u003e                                  \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e6\u003c/mn\u003e\u003cmn\u003e9\u003c/mn\u003e\u003cmstyle mathcolor=\"#0056EB\"\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmn\u003e1\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                 \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-label\"\u003e                                  \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                      \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\"align-label\"\u003e \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e   \u003c/div\u003e  \u003c/div\u003e \u003cp class=\"noindent\" \u003e\u003c/b\u003e \u003c/p\u003e      \u003cdiv class=\"tcolorbox fooqaexample\" id=\"tcolobox-485\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Eksempel 7\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003cb\u003e\u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eLøs likningen \u003c/span\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold\"\u003e\u003cmn\u003e2\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e7\u003c/mn\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmi  \u003ex\u003c/mi\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003c/p\u003e\u003cmath 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Abonner nå for å få tilgang på våre bootcamper og forbedre dine matteferdigheter."},"header":{"title":"Lær matte smartere og enklere","joinToGetAccess":"Bli med for å få tilgang","login":"Logg inn","buyNow":"Kjøp nå","joinNow":"Bli med nå","homTeam":"House of Math Team","freeTrial":"Gratis prøveperiode","basic":"Basic","priceStartsFrom":"Priser fra","getBetterGrade":"Få bedre karakter i matte","totalMathSolution":"Møt din alt-i-ett matteløsning","trustedByTwoMillion":"Over 2 millioner \u003cbr\u003e fornøyde brukere","faq":"Ofte stilte spørsmål","subscriptionSection":"Få en bedre mattekarakter"},"pricing":{"productTitleYearly":"År","perMonth":"pr mnd","regularBilling":"Trekkes på en regelmessig basis","title":"Få en bedre mattekarakter","subTitle":"Fra 6 til 100+ år","month":"måned","year":"år","free":"Gratis","per":"pr","signUpForFree":"Registrer deg gratis","continueForFree":"Fortsett gratis","joinNow":"Bli med nå","startNow":"Start nå","changePlan":"Endre pakke","currentPlan":"Nåværende pakke","upgrade":"Oppgrader","bestValue":"Best pris","getAccessTo":"Få tilgang på","signUp":"Registrer deg","cancelAnytime":"Avslutt når som helst","couponPeriodPlural":"{{ priceLabel }} i {{ durationInMonths }} måned(er)","couponPeriodSingular":"{{ priceLabel }} i 1 måned","couponOnce":"{{priceLabel}} første måned","afterTime":"Så","freeTrialPeriodSingularCheckout":"1 dag gratis","freeTrialPeriodPluralCheckout":"{{ freeTrialPeriod }} dager gratis","freeTrialPeriodSingular":"1 dag gratis","freeTrialPeriodPlural":"{{ freeTrialPeriod }} dager gratis","seeMore":"Se mer","close":"Lukk","showAllPackages":"Vis alle pakker","showLessPackages":"Vis færre pakker","textYearly":"{{ price }} belastes årlig","testFreeTrialPeriod":"Prøv {{ trialDays }} dager gratis","startFreeTrialPeriod":"Start din {{ trialDays }}-dagers prøveperiode","unlockTrialPeriod":"Lås opp din {{ trialDays }}-dagers prøveperiode","then":"deretter","buy":"Kjøp","whatsIncluded":"Se hva som er inkludert","showLess":"Vis mindre","familyAccountComingSoon":"Familiekonto kommer snart"},"product":{"title":"Få din egen personlig læringssti","faq":"Ofte stilte spørsmål","faqLogo":"Ofte stilte spørsmål logo","teacher":"Jeg er en lærer","products":{"videoCourses":{"title":"Din sti for å få matten på gli","tagline":"Bootcamps","text":"Digitale kurs med instruerende videoer og interaktive oppgaver"},"keepTrack":{"title":"Få oversikt","tagline":"Statistikkpanel","text":"Ditt eget statistikkpanel for å følge med på din progresjon"},"unlimitedQuestions":{"title":"Still så mange spørsmål du vil","tagline":"24/7 mattechat","text":"Spør våre lærere så mange spørsmål du vil"},"excercises":{"title":"Alt du trenger på et sted","tagline":"Oppgaver","text":"Få tilgang på alt mattepensum fra barneskolen til videregående"}}},"checkout":{"title":"Subscription checkout","metaDescription":"Checkout"},"success":{"confirmation":"Bekreftelse","title":"Success","metaDescription":"Success","date":"Bestillingsdato","confirmationNumber":"Bekreftelsesnummer","welcome":"Velkommen til","fullAccess":"Du har nå tilgang til House of Math!","goHomeButton":"Gå til Hjem","backToUrl":"Tilbake til der du var","yourSubscriptionPackage":"Din abonnementspakke","trialPeriodEndsOn":"Prøveperioden slutter den","packageUpgraded":"Pakke oppgradert","packageChanged":"Pakke endret","checkmark":"Checkmark logo","getStarted":"Kom i gang"},"callback":{"text":"Du er nesten ferdig - vi behandler abonnementsplanen din"},"paymentFailed":{"message":"Vi kunne ikke behandle din betaling.\nPrøv igjen.","tryAgain":"Prøv igjen","refused":"Betalingen ble avvist","cancelled":"Betalingen ble kansellert","error":"Betalingen mislyktes","metaDescription":"Betalingen mislyktes","refusedSubtitle":"Vennligst prøv igjen med en annen betalingsmetode eller kort.","errorSubtitle":"Noe gikk galt under betalingen.\nPrøv igjen senere."},"paymentPending":{"title":"Betalingen behandles","metaDescription":"Betalingen behandles","message":"Betalingen din er til behandling","messageEmailSent":"En bekreftelses epost vill bli sendt til \u003cemail\u003e{{email}}\u003c/email\u003e"},"modal":{"title":"Start gratis prøveperiode","text":"Takk for at du kommer tilbake til oss","encyclopediaText":"Registrer deg for å få tilgang til vårt omfattende oppslagsverk","trialUsed":"Start ditt abonnement nå!","button":"Få ubegrenset tilgang","freeVersion":"Fortsett å bruke gratisversjonen","bulletPointsTitle":"Få også tilgang til:","teacher":{"title":"Unik rabatt til lærere!","trialEnd":"Prøveperioden din har nå utløpt, men vi er glade for å kunne tilby deg en eksklusiv mulighet til å fortsette å bruke House of Math.","token":"Som en takk for at du er med oss, vil vi gjerne tilby deg \u003cstrong\u003e50 % rabatt\u003c/strong\u003e på abonnementet ditt \u003cstrong\u003ei 6 måneder\u003c/strong\u003e!","copyCode":"Kopier koden over og bruk den når du betaler for ditt månedlige abonnement. 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Tenåringshodet hennes trengte veiledning på lik linje med matte som hun forserte. Vi er strålende fornøyd med begge deler!"}},"chat":{"expressionError":"Noe gikk galt med dette utrykket","header":"Chat med privatlærer","infoBox":"Hallo! \u003cbr\u003e\u003cbr\u003e Still dine mattespørsmål her.","infoBoxEnd":"Tjenesten er kun gratis i en begrenset periode. Chatten besvares bare på engelsk.","infoBoxItem1":"1. Gjengi oppgaven.","infoBoxItem2":"2. Oppgi alle detaljer.","infoBoxItem3":"3. Fortell hva du har forsøkt selv.","infoBoxList":"Tips for å få rask hjelp:","infoMessage":"Still et spørsmål til en privatlærer, så svarer vi deg så fort som mulig","tutorChat":{"alreadyClaimed":"Noen andre tok samtalen før deg","chatHeader":"Bruker-ID {{userId}}","claimThread":"Ta Samtalen","claimWarning":"Ved å ta samtalen er det kun du som svare på den. 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Hvis du vil bli med på House of Math teamet, så kan du søke \u003clinkToCareers\u003eher\u003c/linkToCareers\u003e.","awardTitle":"Vi spillifiserer din opplevelse","awardTitleSubtext":"Underveis vil du finne kister som denne","awesome":"Kult!","buttonTakeQuiz":"Ta quizen","creatingYourLearningPath":"Genererer din optimale læringssti...","learningPath":"Genererer din optimale læringssti","greatResultsText":"Nå må du bare velge de emnene du allerede kjenner til for å fortsette","greatResultsTitle":"Flotte resultater på quizen!","subjectKnowledgeRating":{"1":"Dårlig","2":"Litt dårlig","3":"Nøytral","4":"Godt","5":"Veldig godt"},"curriculumSubjectKnowledgeRating":{"1":"Nei","2":"Litt","3":"Begrenset","4":"Ganske bra","5":"Veldig bra"},"subjects":{"quiz-subject-algebraic-factorization":{"questionRating":"Algebraisk faktorisering","title":"Algebraisk faktorisering"},"quiz-subject-basic-algebra":{"questionRating":"Hvor godt mestrer du bokstavregning?","title":"Bokstavregning "},"quiz-subject-equations":{"questionRating":"Hvor godt mestrer du likninger?","title":"Likninger"},"quiz-subject-fractions":{"questionRating":"Hvor godt mestrer du brøkregning?","title":"Brøk"},"quiz-subject-functions":{"questionRating":"Hvor godt mestrer du funksjoner?","title":"Funksjoner"},"quiz-subject-parentheses":{"questionRating":"Hvor godt mestrer du parenteser?","title":"Parenteser"},"quiz-subject-percent":{"questionRating":"Hvor godt mestrer du prosentregning?","title":"Prosent"},"quiz-subject-powers":{"questionRating":"Hvor godt mestrer du potensregning?","title":"Potenser"},"quiz-subject-the-multiplication-table":{"questionRating":"Hvor godt mestrer du gangetabellen 1-10?","title":"Gangetabellen"}},"title":"For effektiv læring, ta quizen! 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Bruk tiden til å samle mer Matteenergi fra kistene i Drillheftene!","DoNotHaveEnoughMnO":"Du har ikke mer Kudos! Gjør flere matteoppdrag for å samle flere!","DragonFull":"Dragen din er mett! Vent en stund før du gir den mer Kudos.","DragonTrickCooldown":"Dragen din er sliten etter å ha trent på det nye trikset. Prøv igjen senere!","DragonTrickNotWilling":"Dragen din vil ikke trene mer før den er mett og fornøyd!","DragonTutorial1":"Sørg for å holde dragen din sunn og god ved å gi den Kudos!","DragonTutorial2":"Ryktene sier at dragene kan lære seg nye triks hvis du holder de mette en stund!","DragonTutorial3":"Drager trenger også kos! Sørg for å kose med den jevnlig!","DragonTutorial4":"Kult! Dragen din har det skikkelig bra! Sørg for å gi den oppmerksomhet hver dag!","EggHasBeenChosen":"Godt valg! La oss plassere egget trygt i basen din. Kan vi få det til å klekke?","EggHungry1":"Hmm... Egget ditt virker som om det er sultent!","EggHungry2":"Her ta litt Kudos!","EggHungry3":"Her, ta litt Kudos! Prøv å gi Kudos til egget ved å klikke på det!","EggInfoStillHatching":"Egget ditt er under klekking! Men du må sørge for å få gitt det mer Kudos!","EggIsAboutToHatch":"Utrolig! Du har fått en drage i basen din!","FeedMathEnergyToEggFirstTime":"Prøv å gi Kudos til egget ved å klikke på det!","FirstTimeGettingMathEnergyFromChest":"Kult! Du har funnet din første kule med KudosEnergi! Gi det til egget du har i basen!","GiveDragonName":"Skriv inn navnet til dragen din eller trykk OK.","InfoAboutPetTrick":"Dragen din er villig til å lære når den er mett og fornøyd!","MathEnergyTutorial1":"Du må gi nok Kudos til egget for å få det til å klekke!","MathEnergyTutorial2":"Hvis du gjør matteoppdrag så kan du finne mer Kudos!","NextHatchingState1":"Oi, se! Egget ditt ser litt annerledes ut!","NextHatchingState2":"Egget ditt har sprukket enda litt mer! 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Når du ønsker å addere eller subtrahere bort et ledd på den ene siden av likningen for å få \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/math\u003e alene, gjør du som følger: \u003c/p\u003e                                                                                                                                                                                                                                               \u003cdiv class=\\\"tcolorbox fooexample\\\" id=\\\"tcolobox-477\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e                                                                                                                                                                                                                                          \u003cp class=\\\"indent\\\" \u003e     Eksempel 1\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003ch3 class=\\\"example-container-title\\\"\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eSubtraherer\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003epå\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003ebegge\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003esider\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\\\"noindent\\\" \u003e \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" \u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align-star\\\"\u003e                              \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mtd\u003e                                                \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-label\\\"\u003e                                            \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003cmstyle mathcolor=\\\"#0056EB\\\"\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmstyle mathcolor=\\\"#0056EB\\\"\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                           \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-label\\\"\u003e                                            \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e0\u003c/mn\u003e\u003c/mtd\u003e                                                \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-label\\\"\u003e                                            \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                          \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-label\\\"\u003e \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e Du ønsker å bli kvitt \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e på VS. Hvis du trekker fra \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e på VS, forsvinner \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e-tallet. \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e-tallet du trakk fra på VS må du også trekke fra på HS. Dermed har \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e-tallet dukket opp på den andre siden av likhetstegnet, men med motsatt fortegn!   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                         \u003cdiv class=\\\"tcolorbox fooexample\\\" id=\\\"tcolobox-478\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e                                                                                                                                                                                                                                          \u003cp class=\\\"indent\\\" \u003e     Eksempel 2\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003ch3 class=\\\"example-container-title\\\"\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eAdderer\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003epå\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003ebegge\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003esider\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\\\"noindent\\\" \u003e \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" \u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align-star\\\"\u003e                              \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/mtd\u003e                                                \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e9\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-label\\\"\u003e                                            \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmstyle mathcolor=\\\"#0056EB\\\"\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e9\u003c/mn\u003e\u003cmstyle mathcolor=\\\"#0056EB\\\"\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                           \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-label\\\"\u003e                                            \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e0\u003c/mn\u003e\u003c/mtd\u003e                                                \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                               \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-label\\\"\u003e                                            \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                          \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                               \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                           \u003cmtd  class=\\\"align-label\\\"\u003e \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e Du ønsker å bli blitt \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e på VS. Hvis du legger til \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e på VS, forsvinner \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e-tallet. \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e-tallet du la til på VS, må du også legge til på HS. Dermed har \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e-tallet dukket opp på den andre siden av likhetstegnet, men med motsatt fortegn!   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                    \u003cp class=\\\"indent\\\" \u003e     Det finnes en lettere metode enn å trekke fra eller legge til på begge sider. Denne metoden kaller vi \u003cspan  class=\\\"ec-lmri-12x-x-144\\\"\u003eflytte/bytte\u003c/span type=\\\"punct\\\"\u003e. \u003c/p\u003e      \u003cdiv class=\\\"tcolorbox foorule\\\" id=\\\"tcolobox-479\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e                                                                                                                                                                                                                                          \u003cp class=\\\"indent\\\" \u003e     Regel\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003ch3 class=\\\"rule-container-title\\\"\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eFlytte/bytte-metoden\u003c/span\u003e \u003c/h3\u003e      \u003c/p\u003e\u003cdl class=\\\"enumerate-enumitem\\\"\u003e\u003cdt class=\\\"enumerate-enumitem\\\"\u003e    1.  \u003c/dt\u003e\u003cdd  class=\\\"enumerate-enumitem\\\"\u003e         Flytt         det         leddet         du         vil         bli         kvitt,         over         på         andre         siden         av         likhetstegnet.         \u003c/dd\u003e\u003cdt class=\\\"enumerate-enumitem\\\"\u003e     2.  \u003c/dt\u003e\u003cdd  class=\\\"enumerate-enumitem\\\"\u003e         Bytt         fortegn         på         dette         leddet.         \u003c/dd\u003e\u003c/dl\u003e   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                                  \u003cdiv class=\\\"tcolorbox fooexample\\\" id=\\\"tcolobox-480\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e                                                                                                                                                                                                                                          \u003cp class=\\\"indent\\\" \u003e     Eksempel 3\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003ch3 class=\\\"example-container-title\\\"\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003ePluss\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eflytte/bytte\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003etil\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eminus\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\\\"noindent\\\" \u003e \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" \u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align-star\\\"\u003e                               \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                   \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-label\\\"\u003e                                              \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                        \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmstyle mathcolor=\\\"#0056EB\\\"\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                             \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-label\\\"\u003e                                              \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                        \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                   \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-label\\\"\u003e \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e blir flyttet over på HS av likningen. Vi bytter fortegn slik at \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/math\u003e blir til \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/math type=\\\"punct\\\"\u003e.   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                         \u003cdiv class=\\\"tcolorbox fooexample\\\" id=\\\"tcolobox-481\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e                                                                                                                                                                                                                                          \u003cp class=\\\"indent\\\" \u003e     Eksempel 4\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003ch3 class=\\\"example-container-title\\\"\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eMinus\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eflytte/bytte\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003etil\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003epluss\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\\\"noindent\\\" \u003e \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" \u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align-star\\\"\u003e                               \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e9\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                   \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-label\\\"\u003e                                              \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                        \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e9\u003c/mn\u003e\u003cmstyle mathcolor=\\\"#0056EB\\\"\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                             \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-label\\\"\u003e                                              \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                        \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                 \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-label\\\"\u003e \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e blir flyttet over på HS av likningen. Vi bytter fortegn slik at \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math\u003e blir til \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math type=\\\"punct\\\"\u003e.   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                    \u003cp class=\\\"noindent\\\" \u003e \u003c/p\u003e \u003cp class=\\\"indent\\\" \u003e     \u003ch2 class=\\\"section-title\\\"\u003e \u003ca   id=\\\"x1-34000\\\"\u003e\u003c/a\u003eHvorfor kan du flytte/bytte?\u003c/h2\u003e \u003c/p\u003e\u003cp class=\\\"indent\\\" \u003e     Hvorfor er det slik at du bare kan flytte/bytte? Tenk deg at skålvekten er i balanse. Når du flytter et ledd over i den andre skålen, skulle en tro at den andre skålen blir mye tyngre. Men siden du bytter fortegn samtidig, blir det som om du fjerner eller legger til leddet fra den andre skålen også! \u003c/p\u003e      \u003cdiv class=\\\"tcolorbox foothink\\\" id=\\\"tcolobox-482\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e                                                                                                                                                                                                                                          \u003cp class=\\\"indent\\\" \u003e     Tenk på dette\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003eFlytte/bytte-regelen er en forenkling av å utføre den samme handlingen på begge sider av likhetstegnet. \u003c/p\u003e\u003cp class=\\\"noindent\\\" \u003eMatematikken er fantastisk på den måten – nye regler du lærer, gjør livet ditt enklere! \u003c/p\u003e  \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                  \u003c/p\u003e      \u003cdiv class=\\\"tcolorbox fooqaexample\\\" id=\\\"tcolobox-483\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e \u003cp class=\\\"indent\\\" \u003e     Eksempel 5\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003cb\u003e\u003cspan  class=\\\"ec-lmbx-12x-x-144\\\"\u003eLøs likningen \u003c/span\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" mathvariant=\\\"bold-italic\\\"\u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align-star\\\"\u003e                                  \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                        \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-label\\\"\u003e                                  \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003cmstyle mathcolor=\\\"#0056EB\\\"\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                 \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-label\\\"\u003e                                  \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e7\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                         \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-label\\\"\u003e \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e   \u003c/div\u003e  \u003c/div\u003e \u003cp class=\\\"noindent\\\" \u003e\u003c/b\u003e \u003c/p\u003e                                                                                                                                                                                                                                               \u003cdiv class=\\\"tcolorbox fooqaexample\\\" id=\\\"tcolobox-484\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e \u003cp class=\\\"indent\\\" \u003e     Eksempel 6\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003cb\u003e\u003cspan  class=\\\"ec-lmbx-12x-x-144\\\"\u003eLøs likningen \u003c/span\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmn\u003e1\u003c/mn\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e6\u003c/mn\u003e\u003cmn\u003e9\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" mathvariant=\\\"bold-italic\\\"\u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align-star\\\"\u003e                                  \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmn\u003e1\u003c/mn\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e6\u003c/mn\u003e\u003cmn\u003e9\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                        \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-label\\\"\u003e                                  \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e6\u003c/mn\u003e\u003cmn\u003e9\u003c/mn\u003e\u003cmstyle mathcolor=\\\"#0056EB\\\"\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmn\u003e1\u003c/mn\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                 \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-label\\\"\u003e                                  \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e1\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                      \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                 \u003cmtd  class=\\\"align-label\\\"\u003e \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e   \u003c/div\u003e  \u003c/div\u003e \u003cp class=\\\"noindent\\\" \u003e\u003c/b\u003e \u003c/p\u003e      \u003cdiv class=\\\"tcolorbox fooqaexample\\\" id=\\\"tcolobox-485\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e                                                                                                                                                                                                                                          \u003cp class=\\\"indent\\\" \u003e     Eksempel 7\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003cb\u003e\u003cspan  class=\\\"ec-lmbx-12x-x-144\\\"\u003eLøs likningen \u003c/span\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold\\\"\u003e\u003cmn\u003e2\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e7\u003c/mn\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmi  \u003ex\u003c/mi\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" mathvariant=\\\"bold-italic\\\"\u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align-star\\\"\u003e                             \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmn\u003e2\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mtd\u003e                                   \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e7\u003c/mn\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmi  \u003ex\u003c/mi\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                            \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                            \u003cmtd  class=\\\"align-label\\\"\u003e                             \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmn\u003e2\u003c/mn\u003e\u003cmi  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