Algebra 2 (1st Edition)

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

Chapter 8 Rational Functions - 8.6 Solve Rational Equations - 8.6 Exercises - Quiz for Lessons 8.4-8.6 - Page 595: 7

Answer

$$\frac{-2x+21}{\left(x+5\right)^2}$$

Work Step by Step

Creating like denominators in order to simplify, we find: $$\frac{4}{x+5}-\frac{6x-1}{\left(x+5\right)^2}\\ \frac{4\left(x+5\right)}{\left(x+5\right)^2}-\frac{6x-1}{\left(x+5\right)^2}\\ \frac{4\left(x+5\right)-\left(6x-1\right)}{\left(x+5\right)^2} \\ \frac{-2x+21}{\left(x+5\right)^2}$$
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