Answer
$\frac{(x+5)}{2x^{3}}$
Work Step by Step
$\frac{2x^{2}-50}{4x^{4}-20x^{3}}$
=$\frac{2(x^{2}-25)}{4x^{3}(x-5)}$
=$\frac{2(x^{2}-5^{2})}{4x^{3}(x-5)}$
=$\frac{2(x+5)(x-5)}{4x^{3}(x-5)}$
=$\frac{2(x+5)}{4x^{3}}$
=$\frac{(x+5)}{2x^{3}}$