Answer
$ \frac{1}{x^2(x^2-1)^{1/2}}$
Work Step by Step
$\frac{\frac{x^2}{(x^2-1)^{1/2}}-(x^2-1)^{1/2}}{x^2}=\frac{x^2-(x^2-1)}{x^2(x^2-1)^{1/2}}=\frac{1}{x^2(x^2-1)^{1/2}}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A61: 85
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