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 - Page 200: 60

Answer

$6x^3y^2-x^2y^2-xy^2$

Work Step by Step

Using $a(b+c)=ab+ac$ (or the Distributive Property), the given expression, $ xy^2(6x^2-x-1) ,$ is equivalent to \begin{array}{l}\require{cancel} xy^2(6x^2)+xy^2(-x)+xy^2(-1) \\\\= 6x^3y^2-x^2y^2-xy^2 .\end{array}
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