x^2-1/x^2-2x+1 +x^2-2x/x-2÷x
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(x^2-1)/(x^2-2x+1) +(x^2-2x)/(x-2)÷x
= (x+1)(x-1)/(x-1)^2 + x(x-2)/(x-2)÷x
= (x+1)/(x-1)+ x/÷x
= (x+1)/(x-1) + 1
= (x+1+x-1)/(x-1)
= 2x / (x-1)
= (x+1)(x-1)/(x-1)^2 + x(x-2)/(x-2)÷x
= (x+1)/(x-1)+ x/÷x
= (x+1)/(x-1) + 1
= (x+1+x-1)/(x-1)
= 2x / (x-1)
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