Question

Factorize each of the following expression:
a(a − 2b − c) + 2bc

Answer 1

$$\begin{gathered} a(a-2b-c)+2bc=a^2-2ab-ac+2bc \\ =(a^2-ac)+(2bc-2ab)[Regroupingtheterms] \\ =a(a-c)+2b(c-a) \\ =a(a-c)-2b(a-c)[\because (c-a)=-(a-c\left)\right] \\ =(a-2b)(a-c)[Taking(a-c)asthecommonfactor] \end{gathered}$$