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: 28



Work Step by Step

Simplifying the expression by creating like denominators, we find: $$\frac{x+3}{\left(x+2\right)\left(x-4\right)}-\frac{x-5}{\left(x-4\right)\left(x-8\right)} \\ \frac{\left(x+3\right)\left(x-8\right)}{\left(x+2\right)\left(x-4\right)\left(x-8\right)}-\frac{\left(x-5\right)\left(x+2\right)}{\left(x-4\right)\left(x-8\right)\left(x+2\right)} \\ \frac{\left(x+3\right)\left(x-8\right)-\left(x-5\right)\left(x+2\right)}{\left(x+2\right)\left(x-4\right)\left(x-8\right)}\\ \frac{-2x-14}{\left(x+2\right)\left(x-4\right)\left(x-8\right)}$$
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