Question

factor x^3-512

Answer 1

Hint: use the difference of cubes rule

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

Answer 2

it's 8?

Answer 3

8 is part of it because 8^3 = 512

so essentially

x^3-512

turns into

x^3-8^3

and this is where the formula I wrote above starts to apply

Answer 4

if you can't see this, then let a = x and b = 8 and plug them into the difference of cubes formula

Answer 5

(x-8)*(X^2+8x+64)