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: 33

Answer

$50x^{3}y^2-15xy^{3}$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ 5xy^2(10x^2-3y) ,$ is \begin{array}{l}\require{cancel} 5xy^2(10x^2)+5xy^2(-3y) \\\\= 50x^{1+2}y^2-15xy^{2+1} \\\\= 50x^{3}y^2-15xy^{3} .\end{array}
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