Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.4 - Polynomials in Several Variables - Exercise Set: 37

Answer

$-a^2b+ab^{2}-b^{3}$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ -b(a^2-ab+b^2) ,$ is \begin{array}{l}\require{cancel} -b(a^2)-b(-ab)-b(b^2) \\\\= -a^2b+ab^{1+1}-b^{1+2} \\\\= -a^2b+ab^{2}-b^{3} .\end{array}
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