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: 19

Answer

$5a^4b^2-5ab^5-5a^2b^3.$

Work Step by Step

By multiplying each term of the polynomial by the factor $5ab^2$, and then adding the products, we have $$ 5ab^2(a^3 - b^3 - ab)=5ab^2(a^3 )+5ab^2(- b^3)+5ab^2( - ab)\\ =5a^4b^2-5ab^5-5a^2b^3. $$
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