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: 26



Work Step by Step

Simplifying the expression by creating like denominators, we find: $$\frac{2x}{x+4}-\frac{x^2+4}{\left(x+4\right)\left(x-4\right)} \\ \frac{2x\left(x-4\right)}{\left(x+4\right)\left(x-4\right)}-\frac{x^2+4}{\left(x+4\right)\left(x-4\right)} \\ \frac{2x\left(x-4\right)-\left(x^2+4\right)}{\left(x+4\right)\left(x-4\right)} \\ \frac{x^2-8x-4}{\left(x+4\right)\left(x-4\right)}$$
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