How do you factor completely 4x^3 - 36x?

1 Answer
Jim G.
Mar 14, 2018

4x(x-3)(x+3)

Explanation:

"take out a "color(blue)"common factor of 4x"

=4x(x^2-9)

x^2-9" is a "color(blue)"difference of squares"

•color(white)(x)a^2-b^2=(a-b)(a+b)

rArrx^2-9=(x-3)(x+3)

rArr4x^3-36x=4x(x-3)(x+3)

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