Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.4 - Polynomials - Exercise Set: 58

Answer

$8x^3-36x^2+54x-27$

Work Step by Step

RECALL: $(a-b)^3=a^3-3a^2b+ 3ab^2-b^3$ Use the formula above with $a=2x$ and $b=3$ to obtain: $=(2x)^3-3(2x)^2(3)+3(2x)(3^2)-3^3 \\=8x^3-9(4x^2)+6x(9)-27 \\=8x^3-36x^2+54x-27$
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