Respuesta :

Given

[tex]2xy^2-y-2x+y^3[/tex]

To write as a product.

Explanation:

It is given that,

[tex]2xy^2-y-2x+y^3[/tex]

Regroup the terms in the above expression as,

[tex]\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}[/tex]

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