化简(x分之1减1-x分之x-3加x²-x分之2)除(1加x分之3减x²分之4)

化简(x分之1减1-x分之x-3加x²-x分之2)除(1加x分之3减x²分之4)
化简(x分之1减1-x分之x-3加x²-x分之2)除(1加x分之3减x²分之4)

化简(x分之1减1-x分之x-3加x²-x分之2)除(1加x分之3减x²分之4)
(1/x-(x-3)/(1-x)+2/(x^2-x))/(3/(1+x)-4/x^2)
={[(x-1)+x(x-3)+2]/(x^2-x)}/[(3x^2-4(1+x))/x^2(1+x)]
=[x-1+x^2-3x+2]/[x(x-1)]*(x^2(1+x)/(3x^2-4x-4)
=(x^2-2x+1)/(x-1)*x(1+x)/(3x+2)(x-2)
=(x-1)(x+1)x/[(3x+2)*(x-2)]