Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2: 58

Answer

$15x^4y+35x^3y-45x^2y$

Work Step by Step

Using $a(b+c)=ab+ac$ (or the Distributive Property), the given expression, $ 5x^2y(3x^2+7x-9) ,$ is equivalent to \begin{array}{l}\require{cancel} 5x^2y(3x^2)+5x^2y(7x)+5x^2y(-9) \\\\= 15x^4y+35x^3y-45x^2y .\end{array}
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