Answer
Recognize $1=1^{3}$,
and thus recognize the expression as a sum of cubes, $ x^{3}+1^{3}.$
Apply the formula$\quad A^{3}+B^{3}=(A+B)(A^{2}-AB+B^{2})$
$x^{3}+1^{3}=(x+1)(x^{2}-x+1)$
Work Step by Step
The answer contains all the steps.
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.5 - Factoring Polynomials - Exercise Set - Page 70: 128
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