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: 34

Answer

$= \frac{(m+6)}{(m-12)}$

Work Step by Step

$\frac{(m+7)(m-5)}{(m+2)(m+7)} \div \frac{(m-5)(m-12)}{(m+2)(m+6)}$ $= \frac{(m+7)(m-5)}{(m+2)(m+7)} \times \frac{(m+2)(m+6)}{(m-5)(m-12)}$ $= \frac{(m+7)(m-5)}{(m+7)} \times \frac{(m+6)}{(m-5)(m-12)}$ $= 1\times \frac{(m+6)}{(m-12)}$ $= \frac{(m+6)}{(m-12)}$
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