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Remove the brackets and gather the x terms together and also the number terms together.

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When in fraction form, get the lowest common multiple (LCM), and multiply the top line by how many times the divisor goes into the LCM.

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Rule for multiping out brackets:

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(a$x$ - b)(c$x$ + d) = (a * c)$x^2$ + ((a * d) + ((-b) *c)))$x$ + ((-b) * d)

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Rule for squaring brackets:

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(-a$x$ + b)$^2$ = (-a * -a)$x^2$ + (2 * (-a) *b)$x$ + (b * b)

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Løs opp parentesen og trekk sammen

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$\\var{a1}(\\var{a2}x+\\var{a3})-\\var{a4} =$

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[[0]]

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Du har ikke løst opp parentesen og trukket sammen.

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Du har ikke trukket sammen alle mulige ledd

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Husk: Når vi multipliserer et tall med et parentesuttrykk må vi multiplisere tallet med hvert av leddene i parentesen. Eksempel:

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$3(5a-2)=3\\cdot 5a -3\\cdot 2=15a-6$

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Løs opp parentesene og trekk sammen

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$\\var{b1}(\\var{b2}x-\\var{b3})-\\var{b4}(\\var{b5}x-\\var{b6})=$

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 [[0]]

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Du har ikke løst opp parentesene og trukket sammen.

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Husk: Når vi multipliserer et tall med et parentesuttrykk må vi multiplisere tallet med hvert av leddene i parentesen. Eksempel:

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$-3(5a-2)=-3\\cdot 5a -3\\cdot (-2)=-15a+6$

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Multipliser parentesene og trekk sammen

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$(\\var{c1}a+\\var{c2}b)(\\var{c3}a-\\var{c4}b) =$

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[[0]]

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Du har ikke multiplisert parentesene

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Husk at $a\\cdot a = a^2$

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Husk: Når vi multipliserer to parentesuttrykk må vi multiplisere hvert ledd i den første parentesen med hvert av leddene i den andre parentesen. Eksempel:

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$(x+2y)(3x-y)$ $=$ $x\\cdot 3x-x\\cdot y+2y\\cdot 3x-2y\\cdot y$

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                        $=$ $3x^2-xy+6xy-2y^2$

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                        $=$ $3x^2+5xy-2y^2$

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(siden $yx=xy$)

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Multipliser parentesene og trekk sammen

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$(\\var{d1}x+\\var{d2})(\\var{d3}x-\\var{d4})-(\\var{a1}x+\\var{a2})(\\var{a3}x-\\var{a4}) =$

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[[0]]

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Du har ikke multiplisert parentesene

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Husk: Når vi multipliserer to parentesuttrykk må vi multiplisere hvert ledd i den første parentesen med hvert av leddene i den andre parentesen. Eksempel:

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$(x+2y)(3x-y)$ $=$ $x\\cdot 3x-x\\cdot y+2y\\cdot 3x-2y\\cdot y$

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                        $=$ $3x^2-xy+6xy-2y^2$

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                        $=$ $3x^2+5xy-2y^2$

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Du kan skrive inn algebraiske uttrykk tekstboksene. For eksempel kan du skrive a^3 og få $a^3$ og enten 2*x-3*y eller bare 2x-3y og få  $2x-3y$. Det anbefales at dere bruker '*' mellom variabler, for at NUMBAS skal tolke det dere skriver riktig. Skriv for eksempel a*b heller enn ab, og x^2*y heller enn x^2y for å få $x^2y$.

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Ved siden av input-boksen ser dere hvordan NUMBAS tolker det dere skriver.

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Simplifying algebraic expressions

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