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91Ó°ÊÓ

Simplify:y3-3y2+y-3y2-y-6

Short Answer

Expert verified

The required answer isy2+1y+2

Step by step solution

01

Step 1. Given Information  

The given expression is y3-3y2+y-3y2-y-6

02

Step 2. Calculation    

Factor the numerator and denominator using the grouping method and then remove the common factors.

y3-3y2+y-3y2-y-6=y2(y-3)+1(y-3)y2-3y+2y-6=(y2+1)(y-3)y(y-3)+2(y-3)=(y2+1)(y-3)(y+2)(y-3)=y2+1y+2

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