Answer
$-101376.$
Work Step by Step
According to the Binomial Theorem, the term containing $x^j$ in the expansion of $(ax+b)^n$ is given by: ${n\choose n-j}a^jb^{n-j}x^j.$ Hence here for $x^7$: ${12\choose 12-7}2^7(-1)^{12-7}=-101376.$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.5 The Binomial Theorem - 12.5 Assess Your Understanding - Page 836: 31
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