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(X^3+2x-x-2)/(x+2)=?

(X^3+2x-x-2)/(x+2)=?-example-1
User Steven Sun
by
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1 Answer

3 votes

Answer:


(A)\:x^(2) -1

Explanation:


(x^(3) +2x^(2) -x-2)/(x+2

Factor expressions that haven't been factored yet.


\longmapsto
((x-1)(x+1)(x+2))/(x+2)

Cancel out x+2 in both numerator and denominator.


\longmapsto
(x-1)(x+1)

Apply Difference of Two Squares Formula:
\left(a+b\right)\left(a-b\right)=a^2-b^2


\longmapsto
\left(x+1\right)\left(x-1\right)=x^2-1^2


\longmapsto
1^2=1


\longmapsto
x^2-1

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User Reb
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