How do you factor #5w^3-1080#?
1 Answer
Feb 16, 2017
Explanation:
The difference of cubes identity can be written:
#a^3-b^3=(a-b)(a^2+ab+b^2)#
We can use this with
#5w^3-1080 = 5(w^3-216)#
#color(white)(5w^3-1080) = 5(w^3-6^3)#
#color(white)(5w^3-1080) = 5(w-6)(w^2+6w+6^2)#
#color(white)(5w^3-1080) = 5(w-6)(w^2+6w+36)#
The remaining quadratic factor has no linear factors with Real coefficients.
