
先化简,再求值:(x+1分之1+x²-1分之x²-2x+1)÷x+1分之x-1,其中x=2
2个回答
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[1/(x+1)+(x^2-2x+1)/(x^2-1)]÷(x-1)/(x+1)
=[1/(x+1)+(x-1)^2/(x+1)(x-1)]÷(x-1)/(x+1)
=1/(x+1)×(x+1)/(x-1)+(x-1)/(x+1)×(x+1)/(x-1)
=1/(x-1)+1
把x=2代入得:
原式=1/(2-1)+1=1+1=2
=[1/(x+1)+(x-1)^2/(x+1)(x-1)]÷(x-1)/(x+1)
=1/(x+1)×(x+1)/(x-1)+(x-1)/(x+1)×(x+1)/(x-1)
=1/(x-1)+1
把x=2代入得:
原式=1/(2-1)+1=1+1=2
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