化简求值x^2十2x十1/x十2÷x^2-1/x-1-x/x十2,x竽等于根号3

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化简求值x^2十2x十1/x十2÷x^2-1/x-1-x/x十2,x竽等于根号3
化简求值x^2十2x十1/x十2÷x^2-1/x-1-x/x十2,
x竽等于根号3

化简求值x^2十2x十1/x十2÷x^2-1/x-1-x/x十2,x竽等于根号3


(x²+2x+1)/(x+2)÷(x²-1)/(x-1)-x/(x+2)
=(x²+2x+1)/(x+2)÷(x²-1)/(x-1)-x/(x+2)
=(x+1)²/(x+2)÷(x+1)(x-1)/(x-1)-x/(x+2)
=(x+1)²/(x+2)*1/(x+1)-x/(x+2)
=(x+1)/(x+2)-x/(x+2)
=(x+1-x)/(x+2)
=1/(x+2)


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