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Write as a product: 2xy^2-y-2x+y^3

1 Answer

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Given


2xy^2-y-2x+y^3

To write as a product.

Step-by-step explanation:

It is given that,


2xy^2-y-2x+y^3

Regroup the terms in the above expression as,


\begin{gathered} 2xy^2-y-2x+y^3=2xy^2-2x-y+y^3 \\ =2x(y^2-1)+y(-1+y^2)_{} \\ =(2x+y)(y^2-1) \\ =(2x+y)(y-1)(y+1) \end{gathered}

Hence, the expression is written as, x=(2x+y)(y-1)(y+1).

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