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Question

Factorize the given equation 2y3+y2-2y-1.


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Solution

Factorize2y3+y2-2y-1.

First, take out the common terms.

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

=(2y+1)(y21)

=(2y+1)(y212)

=2y+1y+1y-1 [a2-b2=a+ba-b]

=2y+1y+1y-1

Hence the factored expression is(2y+1)(y+1)(y-1).


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