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: 8

Answer

$=-\frac{(3x-4)}{(x-4)} $

Work Step by Step

$\frac{(x-8)}{(x-4)} \times \frac{(3x-4)}{(8-x)}$ $= \frac{(x-8)(3x-4)}{(x-4)(8-x)} $ $=\frac{(x-8)(3x-4)}{(x-4)(-(x-8))} $ $=\frac{(3x-4)}{-(x-4)} $ $=-\frac{(3x-4)}{(x-4)} $
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