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: 41

Answer

$495a^{8}b^{8}$

Work Step by Step

We find the term with $b^8=(b^2)^4$ in the expansion of $(a+b^2)^{12}$ by using Binomial Theorem coefficients: $\left(\begin{array}{l} 12\\8\end{array}\right)a^{8}(b^{2})^4=495a^{8}b^{8}$
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