Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Vocabulary, Readiness & Video Check - Page 288: 10

Answer

This is because the product is: $$ a ^2 - b^2$$

Work Step by Step

We know that the multiplication of the sum and difference of two binomials gives: $$ a ^2 - b^2$$ This is by definition a binomial since it has two terms. Thus, the product of the sum and difference of two binomials, given by $(a-b)(a+b)$, will always result in a binomial answer.
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