#### Answer

$\frac{(x+5)}{2x^{3}}$

#### Work Step by Step

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

Published by
Pearson

ISBN 10:
0321726391

ISBN 13:
978-0-32172-639-1

$\frac{(x+5)}{2x^{3}}$

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