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