Answer
$x^2+2x+4$
Work Step by Step
The expression $
\dfrac{x^3-8}{x-2}
$ simplifies to
\begin{array}{l}
\dfrac{(x-2)(x^2+2x+4)}{x-2}
&\text{... use $a^3-b^3=(a-b)(a^2+ab+b^2)$}
\\\\
x^2+2x+4
&\text{... cancel $(x-2)$}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 9 - Cumulative Review - Page 600: 16
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