Question
Factorize of the following expressions:
$x^2-2 a x-2 a b+b x$

Answer

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

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