化简[(X^2-2X)分之(X+2)-(X^2-4X+4)分之(X-1)]除以x-4/x^3-2x^2

化简[(X^2-2X)分之(X+2)-(X^2-4X+4)分之(X-1)]除以x-4/x^3-2x^2
化简[(X^2-2X)分之(X+2)-(X^2-4X+4)分之(X-1)]除以x-4/x^3-2x^2

化简[(X^2-2X)分之(X+2)-(X^2-4X+4)分之(X-1)]除以x-4/x^3-2x^2
您好：

[(X^2-2X)分之(X+2)-(X^2-4X+4)分之(X-1)]除以x-4/x^3-2x^2
=[(x+2)/x(x-2)-(x-1)/(x-2)²]*x²(x-2)/(x-4)
=x(x+2)/(x-4)-x²(x-1)/(x-2)(x-4)
=x[(x+2)(x-2)-x(x-1)]/(x-2)(x-4)
=x(x²-4-x²+x)/(x-2)(x-4)
=x(x-4)/(x-2)(x-4)
=x/(x-2)


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