Answer
$25m^2-81$
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
$$
(5m - 9)(5m +9)=5m (5m +9) - 9(5m +9)\\
=25m^2+45m-45m-81=25m^2-81
.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
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: 52
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