College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 82

Answer

$\frac{1}{(1-x^{2})^{3/2}}$

Work Step by Step

We factor out $(1-x^2)^{-1/2}$, similar to Exercise 81: $\displaystyle \frac{(1-x^{2})^{1/2}+x^{2}(1-x^{2})^{-1/2}}{1-x^{2}}=\frac{(1-x^{2})^{-1/2}(1-x^{2}+x^{2})}{1-x^{2}}=\frac{1}{(1-x^{2})^{3/2}}$
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