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: 45

Answer

$-64,481,508a^3$

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 $x=a$, $y=-3$, $n=14$: $r+1=12$ $r=11$ The indicated term is: $\binom{14}{11}a^{14-11}(-3)^11=364a^3\times-177147=-64,481,508a^3$
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