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: 24

Answer

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

Work Step by Step

We simplify: $\displaystyle \frac{1-x^{2}}{x^{3}-1}=\frac{(1-x)(1+x)}{(x-1)(x^{2}+x+1)}=\frac{-(x-1)(1+x)}{(x-1)(x^{2}+x+1)}=\frac{-(x+1)}{x^{2}+x+1}$
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