Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Chapters R-4 - Cumulative Review Exercises: 32

Answer

$x^3+8y^3$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (x+2y)(x^2-2xy+4y^2) ,$ is \begin{array}{l}\require{cancel} x(x^2)+x(-2xy)+x(4y^2)+2y(x^2)+2y(-2xy)+2y(4y^2) \\\\= x^3-2x^2y+4xy^2+2x^2y-4xy^2+8y^3 \\\\= x^3+(-2x^2y+2x^2y)+(4xy^2-4xy^2)+8y^3 \\\\= x^3+8y^3 .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.