化简怎么写x-1分之2-x÷【x+1-x-1分之3】【1-1-x分之1】÷x-1分之x

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化简怎么写x-1分之2-x÷【x+1-x-1分之3】【1-1-x分之1】÷x-1分之x化简怎么写x-1分之2-x÷【x+1-x-1分之3】【1-1-x分之1】÷x-1分之x化简怎么写x-1分之2-x÷

化简怎么写x-1分之2-x÷【x+1-x-1分之3】【1-1-x分之1】÷x-1分之x
化简怎么写
x-1分之2-x÷【x+1-x-1分之3】
【1-1-x分之1】÷x-1分之x

化简怎么写x-1分之2-x÷【x+1-x-1分之3】【1-1-x分之1】÷x-1分之x
(2-x)/(x-1)÷[x+1-3/(x-1)]
=(2-x)/(x-1)÷[(x²-1-3)/(x-1)]
=(2-x)/(x-1)÷[(x-2)(x+2)/(x-1)]
=-(x-2)/(x-1)*(x-1)/[(x+2)(x-2)]
=-1/(x+2)
[1-1/(1-x)]÷[x/(x-1)]
=[(1-x-1)/(1-x)]*[(x-1)/x]
=[x/(x-1)]*[(x-1)/x]
=1