Factorize of the following expressions: 1+x+x y+x^2 y - Vidyadip

Question

Factorize of the following expressions:
$1+x+x y+x^2 y$

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Answer

$1+x+x y+x^2 y$
$=(1+x)+\left(x y+x^2 y\right)$
$=(1+x)+x y(1+x)$
$=(1+x y)(1+x)[\text { taking }(1+x) \text { as the common factor }]$

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