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 - 8.5 Exercises - Skill Practice - Page 586: 27



Work Step by Step

Simplifying the expression by creating like denominators, we find: $$\frac{x}{\left(x+3\right)\left(x-3\right)}+\frac{x+1}{\left(x+3\right)^2} \\ \frac{x\left(x+3\right)}{\left(x+3\right)^2\left(x-3\right)}+\frac{\left(x+1\right)\left(x-3\right)}{\left(x+3\right)^2\left(x-3\right)} \\ \frac{x\left(x+3\right)+\left(x+1\right)\left(x-3\right)}{\left(x+3\right)^2\left(x-3\right)} \\ \frac{2x^2+x-3}{\left(x+3\right)^2\left(x-3\right)}$$
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