Answer
See below
Work Step by Step
$$\frac{\frac{1}{x}-\frac{x}{x^{-1}+1}}{\frac{5}{x}}\\ =\frac{1-\frac{x^2}{x^{-1}+1}}{5}\\=\frac{1-\frac{x^3}{x+1}}{5}\\=\frac{(1+x)-x^3}{5(x+1)}$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
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 587: 38
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