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: 83

Answer

$\frac{2x+3}{(1+x)^{4/3}}$

Work Step by Step

We factor out $(1+x)^{-2/3}$, remembering that $(1+x)^{-2/3}*(1+x)=(1+x)^{1/3}$ $\displaystyle \frac{3(1+x)^{1/3}-x(1+x)^{-2/3}}{(1+x)^{2/3}}=\frac{(1+x)^{-2/3}[3(1+x)-x]}{(1+x)^{2/3}}=\frac{2x+3}{(1+x)^{4/3}}$
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