Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.5 The Binomial Theorem - 11.5 Assess Your Understanding - Page 857: 19

Answer

$x^6-12x^5+60x^4-160x^3+240x^2-192x+64$

Work Step by Step

Based on the Binomial Theorem, we have $(x-2)^6=x^6+6(-2)x^5+15(-2)^2x^4+20(-2)^3x^3+15(-2)^4x^2+6(-2)^5x+(-2)^6=x^6-12x^5+60x^4-160x^3+240x^2-192x+64$
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