Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Review: 100

Answer

$8x^3-60x^2+150x-125$

Work Step by Step

$(2x-5)^3$ $=(2x-5)(2x-5)(2x-5)$ $=[2x(2x-5)-5(2x-5)](2x-5)$ $=(4x^2-10x-10x+25)(2x-5)$ $=(4x^2-20x+25)(2x-5)$ $=4x^2(2x-5)-20x(2x-5)+25(2x-5)$ $=8x^3-20x^2-40x^2+100x+50x-125$ $=8x^3-60x^2+150x-125$
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