Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - p.4 - Factoring Polynomials - Exercises - Page 39: 32


$(x+2-y)(x^{2}+4x + 4+xy+2y+y^{2})$

Work Step by Step

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