Question

Factorize each of the following expression:
(3 + 2a)² − 25a²

Answer 1

$$\begin{gathered} (3+2a{)}^2-25a^2 \\ =(3+2a{)}^2-(5a{)}^2 \\ =[(3+2a)-5a\left]\right[(3+2a)+5a] \\ =(3+2a-5a\left)\right(3+2a+5a) \\ =(3-3a\left)\right(3+7a) \\ =3(1-a\left)\right(3+7a) \end{gathered}$$