Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.4 - Factoring Special Forms - Exercise Set: 30

Answer

$2x(x-2)(x+2)$

Work Step by Step

Factor out $2x$ to obtain: $=2x(x^2-4)$ Write 4 as $2^2$ to obtain: $=2x(x^2-2^2)$ The binomial factor above is a difference of two squares. RECALL: A difference of two square can be factored using the formula $a^2-b^2=(a-b)(a+b)$ Factor the difference of two squares using the formula above with $a=x$ and $b=2$ to obtain: $=2x(x-2)(x+2)$
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