化简{x²-2x分之x+2-x²-4x+4x分之x-1}除以X分之(x-1)(X-4)乘以（2-x）²

化简{x²-2x分之x+2-x²-4x+4x分之x-1}除以X分之(x-1)(X-4)乘以（2-x）²
化简{x²-2x分之x+2-x²-4x+4x分之x-1}除以X分之(x-1)(X-4)乘以（2-x）²

化简{x²-2x分之x+2-x²-4x+4x分之x-1}除以X分之(x-1)(X-4)乘以（2-x）²
原式=[(x+2)/x(x-2)-(x-1)/(x-2)²]*x/(x-1)(x-4)*(x-2)²
=(x²-4-x²+x)/x(x-2)²*x/(x-1)(x-4)*(x-2)²
=1/(x-1)

化简{x²-2x分之x+2-x²-4x+4x分之x-1}除以X分之(x-1)(X-4)乘以（2-x）²
={(x+2)/x(x-2) - (x-1)/(x-2)²}*x/(x-1)(x-4) *（x-2）²
={(x+2)(x-2)/x - (x-1)}*x/(x-1)(x-4)
={(x^2-4-x(x-1))/x }*x/(x-1)(x-4)
={(x^2-4-x^2+x)/x }*x/(x-1)(x-4)
={(x-4)/x }*x/(x-1)(x-4)
=1/(x-1)