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: 53

Answer

$4c^2-25d^2$

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 $$ (2c - 5d)(2c + 5d)=2c (2c + 5d)- 5d(2c + 5d)\\ =4c^2+10cd-10cd-25d^2=4c^2-25d^2 .$$
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