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: 31


$=-\frac{10(b-4)}{3(b+4)} $

Work Step by Step

$\frac{8b-10}{3b+12} \div \frac{5-4b}{5b-20}$ $=\frac{8b-10}{3b+12} \times \frac{5b-20}{5-4b}$ $=\frac{2(4b-5)}{3(b+4)} \times \frac{5(b-4)}{-(4b-5)}$ $=\frac{2}{3(b+4)} \times \frac{5(b-4)}{-1}$ $=-\frac{10(b-4)}{3(b+4)} $
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