\(x^3-6x^2+12x-8\\ =x^3-3.x^2.2+3.x.2^2-2^3\\ =\left(x-2\right)^3\\ =\left(22-2\right)^3=20^3=8000\\ \\ x^3-6x^2y+12xy^2-8y^3=x^3-3x^2.2y+3.x.\left(2y\right)^2-\left(2y\right)^3=\left(x-2y\right)^3=\left(14-2.2\right)^3=\left(14-4\right)^3=10^3=1000\)
