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 757: 22

Answer

$16x^{20}-32x^{15}+24x^{10}-8x^5+1$

Work Step by Step

Use the binomial theorem formula (detailed on page 754) to solve the problem. Be careful in writing each term correctly. $(2x^5-1)^4$ $1*(2x^5)^4+4*(2x^5)^3*(-1)+6*(2x^5)^2*(-1)^2+4*(2x^5)*(-1)^3+(-1)^4$ $16x^{20}-32x^{15}+24x^{10}-8x^5+1$
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