化简并求值化简｛[a/（a-1）]-[2/（a²－ - 知识问答

化简并求值化简｛[a/（a-1）]-[2/（a²－1）]｝÷[1－1/（a+1）] （其中a=2010)

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｛[a/（a-1）]-[2/（a²－1）]｝÷[1－1/（a+1）]
={[a(a+1)-2]/(a²-1)}*(a+1)/a
=[(a²+a-2)(a+1)]/[a(a+1)(a-1)]
=(a+2)(a-1)(a+1)/a(a+1)(a-1)
=(a+2)/a
=1+2/a
=1+2/2010
=1+1/1005
=1006/1005

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