factor (x^3)+(1/512)
$$\\\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}\\\\ x^3+\left(\frac{1}{8}\right)^3 =\left(x+\frac{1}{8}\right)\left(x^2-\frac{x}{8}+\frac{1}{64}\right)$$