Answer
1
Work Step by Step
Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find:
$$ \frac{\left(x-2a\right)\left(a^2x+2a^3\right)}{a^2x^2-4a^4}\\ \frac{\left(x-2a\right)\left(x+2a\right)}{\left(x+2a\right)\left(x-2a\right)} \\ 1$$
