Algebra 2 (1st Edition)

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

Chapter 8 Rational Functions - Chapter Review - Page 605: 25

Answer

$$\frac{-4x^2-6x-6}{\left(x+1\right)\left(x+3\right)\left(x-3\right)}$$

Work Step by Step

Creating like denominators and then simplifying, we find: $$\frac{x+2}{\left(x+1\right)\left(x+3\right)}-\frac{5x}{\left(x+3\right)\left(x-3\right)}\\ \frac{\left(x+2\right)\left(x-3\right)-5x\left(x+1\right)}{\left(x+1\right)\left(x+3\right)\left(x-3\right)}\\ \frac{-4x^2-6x-6}{\left(x+1\right)\left(x+3\right)\left(x-3\right)}$$
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