Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.2 - Multiplication of Polynomials - Exercise Set - Page 337: 27

Answer

$a^3-b^3$

Work Step by Step

$(a-b)(a^2+ab+b^2)=\\=a(a^2+ab+b^2)-b(a^2+ab+b^2)\\=(a^3+a^2b+ab^2)+(-ba^2-ab^2-b^3)\\=a^3-b^3$
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