Answer
$x(x-1)(x^{2}+x+1)$
Work Step by Step
We simplify as follows:
$x^{4}-x$
$=x(x^{3}-1)$ (Then we use difference of cubes)
$=x(x-1)(x^{2}+x+1)$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 6 - Section 6.5 - Integrated Review - Choosing a Factoring Strategy - Page 451: 75
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