Answer
$5(x-1)(x^2+x+1)$.
Work Step by Step
The given expression is
$=5x^3-5$
Factor out $5$ from each term.
$=5(x^3-1)$
$=5(x^3-1^3)$
Use the algebraic identity.
$a^3-b^3=(a-b)(a^2+ab+b^2)$
$=5(x-1)(x^2+x+1)$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 5 - Test - Page 402: 24
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