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:
$=(2x)^3-3(2x)^2(3)+3(2x)(3^2)-3^3
\\=8x^3-9(4x^2)+6x(9)-27
\\=8x^3-36x^2+54x-27$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter P - Section P.4 - Polynomials - Exercise Set - Page 56: 58
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