SOLUTION: Simplify the rational expression 4y^3-8y^2+7y-14/-y^2-5y+14

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Question 229881: Simplify the rational expression
4y^3-8y^2+7y-14/-y^2-5y+14

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Simplify the rational expression
4y^3-8y^2+7y-14/-y^2-5y+14
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Factor the numerator:
4y^2(y-2) + 7(y-2)
(4y^2+7)(y-2)
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Factor the denominator:
-(y^2+5y-15)
-(y+7)(y-2)
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Cancel the common factor of y-2:
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Ans: -(4y^2+7)/(y+7)
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Cheers,
Stan H.

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