Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - Chapter Review - Review Exercises - Page 839: 32

Answer

$144.$

Work Step by Step

According to the Binomial Theorem, the term containing $x^j$ in the expansion of $(x+a)^n$ is given by: ${n\choose n-j}a^{n-j}x^j.$ Hence here for $x^7$: ${9\choose 9-7}2^{9-7}=144.$
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