Answer
$$\frac{1}{2-3x^2}$$
Work Step by Step
Simplifying the expression by trying to cancel terms that are in the numerator and the denominator, we find:
$$\frac{8x^2}{16x^2-24x^4} \\ \frac{8x^2}{8x^2\left(2-3x^2\right)} \\ \frac{1}{2-3x^2}$$