Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - Review Exercises: Chapter 6 - Page 437: 16

Answer

$$-5\left(x+2y\right)$$

Work Step by Step

Recall, to simplify rational expressions, we look for common factors in the numerator and the denominator. Doing this, we find: $$ \frac{5x^2-20y^2}{2y-x}\\ \frac{5\left(x+2y\right)\left(x-2y\right)}{2y-x}\\ -5\left(x+2y\right)$$
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