Question

Factorize each of the following expressions:
x² − 2ax − 2ab + bx

Answer 1

$$\begin{gathered} x^2-2ax-2ab+bx \\ =(x^2-2ax)+(bx-2ab)[Regroupingtheexpressions] \\ =x(x-2a)+b(x-2a) \\ =(x+b)(x-2a)[Taking(x-2a)asthecommonfactor] \\ =(x-2a)(x+b) \end{gathered}$$