## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 5 - Section 5.5 - Factoring Special Forms - Exercise Set - Page 371: 9

#### Answer

$(xy-1)(xy+1)$

#### Work Step by Step

RECALL: A difference of two squares can be factored using the formula: $a^2-b^2=(a-b)(a+b)$ The given binomial can be written as: $=(xy)^2-(1)^2$ This binomial is a difference of two squares. Factor the given difference of two squares using the formula above with $a=xy$ and $b=1$ to obtain: $=(xy-1)(xy+1)$

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