Factorize each of the following expressions:

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

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Solution

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

$∴ 1 + x + x y + x^{2} y$
$= 1 (1 + x) + x y (1 + x)$
$= (1 + x) (1 + x y)$

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

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