Answer
$= -\frac{x-3}{x-2}$
Work Step by Step
$\frac{x-3}{x-6} \div \frac{x-2}{6-x}$
$= \frac{x-3}{x-6} \times \frac{6-x}{x-2}$
$= \frac{x-3}{x-6} \times \frac{-(x-6)}{x-2}$
$= \frac{x-3}{1} \times \frac{-1}{x-2}$
$= -\frac{x-3}{x-2}$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
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
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