College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.5 - Page 758: 26

Answer

$x^5-10x^4+40x^3-80x^2+80x-32$

Work Step by Step

Use the binomial theorem formula (detailed on page 754) to solve the problem. Be careful in writing each term correctly. $(x-2)^5$ $1*(x)^5+5*(x)^4*(-2)+10*(x)^3*(-2)^2+10*(x)^2*(-2)^3+5*(x)*(-2)^4+1*(-2)^5$ $x^5-10x^4+40x^3-80x^2+80x-32$
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