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

Answer

$x^2-2 a x-2 a b+b x$
$= (x^2- 2ax) + (bx - 2ab)$
$= x(x - 2a) + b(x - 2a)$
$= (x + b)(x - 2a)$ [taking $(x - 2a)$ as the common factor]
$= (x - 2a)(x + b)$

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