Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.5 Add and Subtract Rational Expressions - Guided Practice for Examples 5 and 6 - Page 585: 13



Work Step by Step

Simplifying the fraction using the rules of fractions, we find: $$\frac{3}{\left(x+5\right)\left(\frac{2}{x-3}+\frac{1}{x+5}\right)} \\ \frac{3}{\frac{3x+7}{\left(x-3\right)\left(x+5\right)}\left(x+5\right)} \\ \frac{3}{\frac{3x+7}{x-3}} \\ =\frac{3\left(x-3\right)}{3x+7}$$
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