(2x^2-3x-3)/(x-2)-(2x^3+x^2-8x-8)/(x^4)=(x+2)(2x^2-3x-3)/(x²-4)-(2x^3+x^2-8x-8)/(x^4)=(2x³+4x²-3x²-6x-3x-6-2x³-x²+8x+8)/(x²-4)=(-x+2)/(x-2)(x+2)=-1/(x+2)