Answer
$ \frac{9}{(9-x^2)^{3/2}}$
Work Step by Step
$\frac{(9-x^2)^{1/2}+x^2(9-x^2)^{-1/2}}{9-x^2}=\frac{(9-x^2)+x^2}{(9-x^2)^{3/2}}=\frac{9}{(9-x^2)^{3/2}}$
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: 84
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