Answer
$x^3-36x=x(x-6)(x+6)$
Work Step by Step
Factor out the GCF $x$ to get
$x(x^2-36)$.
Factor the difference of two squares:
$x(x-6)(x+6)$.
Check by multiplying the factors:
$=x(x^2+6x-6x-36)
\\=x(x^2-36)
\\=x^3-36x$.
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Chapter 5 - Polynomials and Polynomial Functions - 5-2 Polynomials, Linear Factors, and Zeros - Practice and Problem-Solving Exercises - Page 293: 10
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