Question 6670
You'll notice that the given expression is the difference of two cubes:
 x^3 and 2^3

{{{(x^3-8)=(x^3-2^3)}}}

The difference of two cubes is factored as follows:

{{{(A^3 - B^3) = ((A-B)(A^2+AB+B^2))}}}

In the given expression: A = x and B = 2

{{{(x^3-8^3) = (x-2)(x^2+2x+4)}}}