Question

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

Answer 1

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