Question:
Factorize each of the following expressions:
x2 − 2ax − 2ab + bx
Solution:
$x^{2}-2 a x-2 a b+b x$
$=\left(x^{2}-2 a x\right)+(b x-2 a b)$ [Regrouping the expressions]
$=x(x-2 a)+b(x-2 a)$
$=(x+b)(x-2 a)$ $[$ Taking $(x-2 a)$ as the common factor $]$
$=(x-2 a)(x+b)$
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