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 226: 29

Answer

$24x^4y-16x^3y^2+20x^2y^3.$

Work Step by Step

By multiplying each term of the polynomial by the factor $4x^2y$ and then adding the products, we have $$ 4x^2y(6x^2 - 4xy + 5y^2)=4x^2y(6x^2) +4x^2y(- 4xy) + 4x^2y(5y^2)\\ =24x^4y-16x^3y^2+20x^2y^3. $$
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