Answer
$(x+2-y)(x^{2}+4x + 4+xy+2y+y^{2})$
Work Step by Step
Expression : $(x+2)^{3}-y^{3}$
By the well known formula : $x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})$
$(x+2)^{3}-y^{3} = (x+2-y)((x+2)^{2}+(x+2)y+y^{2}) = (x+2-y)(x^{2}+4x + 4+xy+2y+y^{2})$
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: 32
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