x3-2x+2x-4=x3-2x2+2x2-4x+2x-4
=x2(x-2)+2x(x-2)+2(x-2)=(x-2)(x2+2x+2)
\(x^3-2x-4\)
=\(x^3-8-2x+4\)
=\(\left(x-2\right)\left(x^2+2x+4\right)\)\(-2\left(x-2\right)\)
=\(\left(x-2\right)\left(x^2+2x+4-2\right)\)
=\(\left(x-2\right)\left(x^2+2x+2\right)\)