Question

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

Answer 1

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).