Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set: 66

Answer

$10c^2d-5c^3d^2-2c^3+c^4d-2cd^2+c^2d^3$

Work Step by Step

Using the Distributive Property, the given expression, $ (5cd-c^2-d^2)(2c-c^2d) ,$ simplifies to \begin{array}{l}\require{cancel} 5cd(2c)+5cd(-c^2d)-c^2(2c)-c^2(-c^2d)-d^2(2c)-d^2(-c^2d) \\\\= 10c^2d-5c^3d^2-2c^3+c^4d-2cd^2+c^2d^3 .\end{array}
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