Answer
$x^3-8$
Work Step by Step
Using $
(a\pm b)(a^2\mp ab+b^2)=a^3\pm b^3
$, then,
\begin{align*}
(x-2)(x^2+2x+4)
\Rightarrow
x(x^2)+(-2)(4)
\\=
x^3-8
.\end{align*}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 5 - Section 5.6 - Factoring Trinomials - Exercise Set - Page 304: 93
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