Question

Factorize each of the following expressions:

$1+x+xy+x^{2}y$

Answer 1

Given: $1+x+xy+x^{2}y$

$\therefore 1+x+xy+x^{2}y$
$=1(1+x)+xy(1+x)$
$=(1+x)(1+xy)$

Hence, $1+x+xy+x^{2}y=(1+x)(1+xy).$