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x^2+2x+1/3x^2-3/(1+1/x-1)*(1-1/x+1)求详细解法

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x^2+2x+1/3x^2-3/(1+1/x-1)*(1-1/x+1)求详细解法

我做到一半做不下去了你们帮我看下我那错了
(x+1)^2/3x^2-3*x-1/x*x/x+1
(x+1)^2/3x^2-3*x-1/x+1
(x+1)*(x-1)/3x^2-3
x^2+2x+1/3x^2-3/(1+1/x-1)*(1-1/x+1)求详细解法
=(x+1)²/3(x²-1)÷(x-1+1)/(x-1)*(x+1-1)/(x+1)
=(x+1)²/3(x+1)(x-1)*(x-1)/x*x/(x+1)
=(x+1)/3(x-1)*(x-1)/(x+1)
=1/3