(x-1+1/x+1)÷(x+x/x-1)怎么算?现在就要!

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(x-1+1/x+1)÷(x+x/x-1)怎么算?现在就要!

原式
=[(x-1)(x+1)+1]/(x+1)÷[x(x-1)+x]/(x-1)
=[x²-1+1]/(x+1)÷[x²-x+x]/(x-1)
=x²/(x+1)÷x²/(x-1)
=x²/(x+1)*(x-1)/x²
=(x-1)/(x+1)

先算括号里的,X-1可以看成(x-1)/1,通分,分母为x+1,右边的同理x变为【x(x-1)】/(x-1),进行计算,懂吧?