Question

Factorize the following expression:

$a(a-2b-c)+2bc$

Answer 1

Factorizing the expression:

$$\begin{gathered} a(a-2b-c)+2bc \\ =a(a-2b)-ac+2bc \\ =a(a-2b)-c(a-2b) \\ =(a-c)(a-2b)(Bytakinga-2bcommon) \end{gathered}$$

Hence, after factorizing we get $a(a-2b-c)+2bc=(a-c)(a-2b).$