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: 50

Answer

$24x^2-54y^2$

Work Step by Step

We multiply each term of the first polynomial by each term of the second polynomial. Then we add the products, as follows $$ (4x - 6y)(6x + 9y)=4x (6x + 9y)- 6y(6x + 9y)\\ =24x^2+36xy-36xy-54y^2=24x^2-54y^2 .$$
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