Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.5 - Factoring Special Forms - Exercise Set: 30

Answer

$2xy(x-4)(x+4)$

Work Step by Step

RECALL: A difference of two squares can be factored using the formula: $a^2-b^2=(a-b)(a+b)$ Factor out the greatest common factor, $2xy$, to obtain: $=2xy(x^2-16) \\=2xy(x^2-4^2)$ The binomial is a difference of two squares. Factor the given difference of two squares using the formula above with $a=x$ and $b=4$ to obtain: $=2xy(x-4)(x+4)$
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