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: 9

Answer

$= \frac{2(x+5)}{(x-7)}$

Work Step by Step

$\frac{2(x-4)}{3x-12} \times \frac{3(x+5)}{(x-7)}$ $= \frac{2(x-4)}{3(x-4)} \times \frac{3(x+5)}{(x-7)}$ $= \frac{2}{3} \times \frac{3(x+5)}{(x-7)}$ $= \frac{2(3(x+5))}{3(x-7)}$ $= \frac{6(x+5)}{3(x-7)}$ $= \frac{2(x+5)}{(x-7)}$
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