Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.3 Multiplying and Dividing Rational Expressions - 7.3 Exercises: 29

Answer

$= -\frac{x+9}{x+7}$

Work Step by Step

$\frac{5-x}{x+7} \div \frac{x-5}{x+9}$ $= \frac{5-x}{x+7} \times \frac{x+9}{x-5}$ $= \frac{5-x}{x+7} \times \frac{x+9}{-(5-x)}$ $= \frac{1}{x+7} \times \frac{x+9}{-1}$ $= -\frac{x+9}{x+7}$
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