Question

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

Answer 1

$$75a^3{b}^2-108a{b}^4$$
$$=3a{b}^2(25a^2-36b^2)$$
$$=3a{b}^2[(5a{)}^2-(6b{)}^2]$$
$$=3a{b}^2(5a-6b)(5a+6b)$$