x-2/x-1+1/x的平方-2x+1÷x/x-1 化简
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(x-2)/(x-1)+1/(x^2-2x+1)÷x/(x-1)
=(x-2)/(x-1)+1/(x-1)^2×(x-1)/x
=(x-2)/(x-1)+1/[x(x-1)]
=[x(x-2)+1]/[x(x-1)]
=(x-1)^2/[x(x-1)]
=(x-1)/x
=1-(1/x)
=(x-2)/(x-1)+1/(x-1)^2×(x-1)/x
=(x-2)/(x-1)+1/[x(x-1)]
=[x(x-2)+1]/[x(x-1)]
=(x-1)^2/[x(x-1)]
=(x-1)/x
=1-(1/x)
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