Question:
Factorize each of the following expressions:
x3 − y2 + x − x2y2
Solution:
$x^{3}-y^{2}+x-x^{2} y^{2}$
$=\left(x^{3}+x\right)-\left(x^{2} y^{2}+y^{2}\right)$ [Regrouping the expressions]
$=x\left(x^{2}+1\right)-y^{2}\left(x^{2}+1\right)$
$=\left(x-y^{2}\right)\left(x^{2}+1\right)$ $\left[\right.$ Taking $\left(x^{2}+1\right)$ as the common factor $]$
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