Answer
$(x+5)(x^{2}-5)$
Work Step by Step
Expression : $x^{3}+5x^{2}-5x-25 $
=$(x^{3}+5x^{2})-(5x+25)$ (group the terms)
Factor out common factors from each group.
=$x^{2}(x+5)-5(x+5)$
Distributive property
=$(x+5)(x^{2}-5)$
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: 44
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