Question

Factor:
`27x^3+8`

Answer 1

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

Explanation:

Simple Question.

27x^3 + 8 = (3x)^3 + (2)^3

You can now apply the sum of the cubes formula:

x^3 + y^3 = (x + y)(x^2 - xy + y^2),

(3x)^3 + (2)^3 = (3x + 2)(3^2x^2 - 2*3x + 2^2)

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

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