Answer
$(x-2)(x^{2}+2x+4)$
Work Step by Step
Factor : $x^{3}-8 = x^{3} - 2^{3} $
By the well known formula : $x^{3} - y^{3} = (x-y)(x^{2}+xy+y^{2})$
Hence, $x^{3}-8 = x^{3} - 2^{3} = (x-2)(x^{2}+2x+4)$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Prerequisites - p.4 - Factoring Polynomials - Exercises - Page 39: 25
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