x/(x-1)-1/(x+1)这道题该怎么做?

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x/(x-1)-1/(x+1)这道题该怎么做?

x/(x-1)-1/(x+1)这道题该怎么做?
x/(x-1)-1/(x+1)这道题该怎么做?

x/(x-1)-1/(x+1)这道题该怎么做?
通分得到[x*(x+1)]/[(x-1)(x+1)]-(x-1)/[(x-1)(x+1)]
再计算,分子为x^2+x-x+1=x^2+1
分母为x^2-1
式子化为(x^2+1)/(x^2-1)