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: 34

Answer

$30x^{4}y-54x^2y^{2}$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ 6x^2y(5x^2-9y) ,$ is \begin{array}{l}\require{cancel} 6x^2y(5x^2)+6x^2y(-9y) \\\\= 30x^{2+2}y-54x^2y^{1+1} \\\\= 30x^{4}y-54x^2y^{2} .\end{array}
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