How do you factor (x+3)^3-4x-12 ?

1 Answer
George C.
Feb 19, 2017

(x+3)^3-4x-12 = (x+1)(x+5)(x+3)

Explanation:

(x+3)^3-4x-12 = (x+3)^3-4(x+3)

color(white)((x+3)^3-4x-12) = ((x+3)^2-4)(x+3)

color(white)((x+3)^3-4x-12) = (x^2+6x+9-4)(x+3)

color(white)((x+3)^3-4x-12) = (x^2+6x+5)(x+3)

color(white)((x+3)^3-4x-12) = (x+1)(x+5)(x+3)

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