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: 61

Answer

$$24x^2-6y^2-78x-39y .$$

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 $$ (4x - 2y - 13)(6x + 3y)= 4x (6x + 3y) - 2y (6x + 3y)- 13(6x + 3y)\\ =24x^2+12xy-12xy-6y^2-78x-39y\\ = 24x^2-6y^2-78x-39y .$$
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