Question

How do you simplify `(3x^2) / (4x^2-9)`?

Answer 1

`(3x^2)/((2x+3)(2x-3))`

Explanation:

Factor the denominator.
Recall that `a^2-b^2=(a+b)(a-b)`.

`(3x^2)/(4x^2-9)`

`=(3x^2)/((2x+3)(2x-3))`