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(a-1+2/a+1)/(a*a+1)a=根号2-1怎么解出

题目详情
(a-1+2/a+1)/(a*a+1) a=根号2-1 怎么解出
▼优质解答
答案和解析
原式=[(a+1)(a-1)+2]/(a+1)×1/(a²+1)
=(a²-1+2)/(a+1)×1/(a²+1)
=(a²+1)/(a+1)×1/(a²+1)
=1/(a+1)
=1/(根号2-1+1)
=1/根号2
=根号2/2
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