化简(1/(x^2-2x))-(1/x^2-4x+4）除以(2/(x^2-2x))

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化简(1/(x^2-2x))-(1/x^2-4x+4）除以(2/(x^2-2x))
化简(1/(x^2-2x))-(1/x^2-4x+4）除以(2/(x^2-2x))

化简(1/(x^2-2x))-(1/x^2-4x+4）除以(2/(x^2-2x))
=[1/x(x-2)-1/(x-2)²]×x(x-2)/2
=1/2-x/2(x-2)
=(x-2-x)/2(x-2)
=-2/2(x-2)
=1/(2-x)