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: 44

Answer

$21x^2y^5$

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 $n=7$: $r+1=6$ $r=5$ The indicated term is: $\binom{7}{5}x^{7-5}y^5=21x^2y^5$
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