化简求值a+1分之1-a^2-2a+1分之a+1除 - 知识问答

化简求值a+1分之1-a^2-2a+1分之a+1除以a-1分之a+1,其中a=根号2

3个回答

解
1/(a+1)-(a+1)/(a²-2a+1)÷(a+1)/(a-1)
=1/(a+1)-(a+1)/(a-1)²×(a-1)/(a+1)
=1/(a+1)-1/(a-1)
=(a-1)/(a+1)(a-1)-(a+1)/(a-1)(a+1)
=(a-1-a-1)/(a²-1)
=(-2)/[(√2)²-1]
=-2/(2-1)
=-2

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