Question

Factorize each of the following expressions:
x³ − y² + x − x²y²

Answer 1

$$\begin{gathered} x^3-y^2+x-x^2{y}^2 \\ =(x^3+x)-(x^2{y}^2+y^2)[Regroupingtheexpressions] \\ =x(x^2+1)-y^2(x^2+1) \\ =(x-y^2)(x^2+1)[Taking(x^2+1)asthecommonfactor] \end{gathered}$$