Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.5 - Multiplication of Polynomials - Exercise - Page 225: 16

Answer

$$-6a^3b-8a^2b^2+4ab^3.$$

Work Step by Step

By multiplying each term of the polynomial by the monomial, and then adding the products, we have $$-2ab(3a^2+4ab-2b^2)=-2ab(3a^2)-2ab(4ab) -2ab(-2b^2)\\ =-6a^3b-8a^2b^2+4ab^3.$$
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