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: 7


$= -\frac{(2x+3)}{(x+3)}$

Work Step by Step

$\frac{(7-x)}{(x+3)} \times \frac{(2x+3)}{(x-7)}$ $= \frac{(7-x)(2x+3)}{(x+3)(x-7)}$ $= \frac{(-(x-7))(2x+3)}{(x+3)(x-7)}$ $= \frac{-(2x+3)}{(x+3)}$ $= -\frac{(2x+3)}{(x+3)}$
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