Factor the polynomial expression 27x3-8 27 x 3 - 8.

(3x-2) (9x^2 + 6x + 4)

Step-by-step explanation:

27x^3-8

This is the difference of cubes

a^3 - b^3 = (a-b) (a^2 + ab + b^2)

a^3 = 27x^3 so a = 3x

b^3 = 8 so b=2

a^2 = (3x) ^2 = 9x^2 ab = (3x) * 2 = 6x b^2 = 2^2 = 4

27x^3 - 8 = (3x-2) (9x^2 + 6x + 4)