Question

Factorize each of the following expression:
75a³b² - 108ab⁴

Answer 1

$$\begin{gathered} 75a^3{b}^2-108a{b}^4 \\ =3a{b}^2(25a^2-36b^2) \\ =3a{b}^2\left[\right(5a{)}^2-\left(6b{)}^2\right] \\ =3a{b}^2(5a-6b)(5a+6b) \end{gathered}$$