Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 14 - Sequences, Series, and the Binomial Theorem - 14.4 The Binomial Theorem - 14.4 Exercise Set: 48

Answer

$35\frac{1}{b^8}c^3$

Work Step by Step

The $r+1$ th term in the binomial expansion of $(x+y)^n$ is: $\binom{n}{r}x^{n-r}y^r$ Here $x=\frac{1}{b^2}$, $y=c$, $n=7$: $r+1=4$ $r=3$ The indicated term is: $\binom{7}{3}(\frac{1}{b^2})^{7-3}(c)^3=35\frac{1}{b^8}c^3$
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