Question

Factor each of the following.
x^3−8=0

Answer 1

(x - 2)(x² + 2x + 4) = 0

Explanation:

x³ - 8 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

x³ - 8

= x³ - 2³

= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)