(x-2)(x+2)*(x-3)(x+4)/(x-2)(x+4)*(x-3)(x+2)=(x^2-4)*(x-3)*(x+4)/(x-2)*(x+4)*(x-3)*(x+2)=(x^3-x^2*3-4x+12)*(x+4)/(x-2)*(x+4)*(x-3)*(x+2)=(x^4+x^3-16x^2-4x+48)/(x-2)*(x+4)*(x-3)*(x+2)=(x^3+3x^2-10x-24+0/(x-2))*(x+4)*(x-3)*(x+2)=(x^3+3x^2-10x-24)*(x+4)*(x-3)*(x+2)=(x^4+7x^3+2x^2-64x-96)*(x-3)*(x+2)=(x^5+4x^4-19x^3-70*x^2+96x+288)*(x+2)=x^6+6x^5-11x^4-108x^3-44x^2+480x+576
(x-2)(x+2)*(x-3)(x+4)/(x-2)(x+4)*(x-3)(x+2)=(x^2-4)*(x-3)*(x+4)/(x-2)*(x+4)*(x-3)*(x+2)=(x^3-x^2*3-4x+12)*(x+4)/(x-2)*(x+4)*(x-3)*(x+2)=(x^4+x^3-16x^2-4x+48)/(x-2)*(x+4)*(x-3)*(x+2)=(x^3+3x^2-10x-24+0/(x-2))*(x+4)*(x-3)*(x+2)=(x^3+3x^2-10x-24)*(x+4)*(x-3)*(x+2)=(x^4+7x^3+2x^2-64x-96)*(x-3)*(x+2)=(x^5+4x^4-19x^3-70*x^2+96x+288)*(x+2)=x^6+6x^5-11x^4-108x^3-44x^2+480x+576