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 - Page 580: 30


$= -\frac{x-3}{x-2}$

Work Step by Step

$\frac{x-3}{x-6} \div \frac{x-2}{6-x}$ $= \frac{x-3}{x-6} \times \frac{6-x}{x-2}$ $= \frac{x-3}{x-6} \times \frac{-(x-6)}{x-2}$ $= \frac{x-3}{1} \times \frac{-1}{x-2}$ $= -\frac{x-3}{x-2}$
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