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Exercise

y2+y−2y+2\frac{y^2+y-2}{y+2}

Step-by-step Solution

1

Factor the trinomial y2+y−2y^2+y-2 finding two numbers that multiply to form −2-2 and added form 11

(−1)(2)=−2(−1)+(2)=1\begin{matrix}\left(-1\right)\left(2\right)=-2\\ \left(-1\right)+\left(2\right)=1\end{matrix}
2

Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values

(y−1)(y+2)y+2\frac{\left(y-1\right)\left(y+2\right)}{y+2}
3

Simplifying

y−1y-1

Final answer to the exercise

y−1y-1

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y2+y−2y+2 
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