Question

Factor 4x^2-9a^4. And check whether it is factorable. The answer options:( 2x-3a^2)^2 or prime or ( 2x +3a^2) (2x - 3a^2 ) or none of these

Answer 1

Given

$4x^2-9a^4$

To factorize.

Explanation:

It is given that,

$4x^2-9a^4$

That implies,

$\begin{gathered} 4x^2-9a^4=(2x)^2-(3a^2)^2 \\ =(2x-3a^2)(2x+3a^2) \end{gathered}$

Hence, the answer is (2x +3a²)(2x - 3a²).