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

$2x(x-6)(x+6)$
Factor out $2x$ to obtain: $=2x(x^2-36)$ Write 36 as $6^2$ to obtain: $=2x(x^2-6^2)$ 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 $b=6$ to obtain: $=2x(x-6)(x+6)$