化简式子:(x/x-1 - x/x方-1) 除以 x方-x/x方-2x+1,

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化简式子:(x/x-1 - x/x方-1) 除以 x方-x/x方-2x+1,

化简式子:(x/x-1 - x/x方-1) 除以 x方-x/x方-2x+1,
化简式子:(x/x-1 - x/x方-1) 除以 x方-x/x方-2x+1,

化简式子:(x/x-1 - x/x方-1) 除以 x方-x/x方-2x+1,
原式
=[x/(x-1)-x/(x+1)(x-1)]÷[x(x-1)/(x-1)²]
=[x/(x-1)-x/(x+1)(x-1)]÷[x/(x-1)]
=[x/(x-1)-x/(x+1)(x-1)]×[(x-1)/x]
=[x/(x-1)]×[(x-1)/x]-[x/(x+1)(x-1)]×[(x-1)/x]
=1-1/(x+1)
=(x+1-1)/(x+1)
=x/(x+1)