Answer
The binomial expansion of ${{\left( {{x}^{\frac{1}{3}}}-{{x}^{-\frac{1}{3}}} \right)}^{3}}=x-3{{x}^{\frac{1}{3}}}+3{{x}^{-\frac{1}{3}}}-{{x}^{-1}}$
Work Step by Step
See below:
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 10 - Section 10.5 - The Binomial Theorum - Exercise Set - Page 1092: 51
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