College Algebra 7th Edition

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

Chapter 8, Sequences and Series - Section 8.6 - The Binomial Theorem - 8.6 Exercises: 31

Answer

Last two terms: $25a^{26/3}$ $a^{25/3}$

Work Step by Step

We find the last 2 terms in the expansion of $(a^{2/3}+a^{1/3})^{25}$ by using Binomial Theorem coefficients: $\left(\begin{array}{l}25\\24\end{array}\right)(a^{2/3})^1\cdot(a^{1/3})^{24}=25a^{2/3}a^{24/3}=25a^{26/3}$ $\left(\begin{array}{l} 25\\25\end{array}\right)(a^{1/3})^{25}=a^{25/3}$
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