e) \(8x^3-12x^2+6x-1=\left(2x-1\right)^3\)
f) \(x^3-6x^2+12x-8=\left(x-2\right)^3\)
g) \(\left(x-5\right)^2-\left(2x+3\right)^2=\left(x-5-2x-3\right)\left(x-5+2x+3\right)=\left(-x-8\right)\left(3x-2\right)\)
h) \(\left(2x-2\right)^2-\left(3x+6\right)^2=\left(2x-2-3x-6\right)\left(2x-2+3x+6\right)=\left(-x-8\right)\left(5x+4\right)\)
a) \(-4x^2+4x-1=-\left(4x^2-4x+1\right)=-\left(2x-1\right)^2\)
b) \(\left(2x+1\right)^2-\left(2x-2\right)^2=\left(2x+1-2x+2\right)\left(2x+1+2x-2\right)=3\left(4x-1\right)\)
c) \(x^2-6x+9=\left(x-3\right)^2\)
d) \(9-6x+x^2-y^2=\left(x-3\right)^2-y^2=\left(x-3-y\right)\left(x-3+y\right)\)