先化简,再求值.x+2分之x-x+2分之x平方+2x+1除以x-1分之x平方-1

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先化简,再求值.x+2分之x-x+2分之x平方+2x+1除以x-1分之x平方-1
先化简,再求值.x+2分之x-x+2分之x平方+2x+1除以x-1分之x平方-1

先化简,再求值.x+2分之x-x+2分之x平方+2x+1除以x-1分之x平方-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)÷(x+1)
=x/(x+2)-(x+1)/(x+2)
=(x-x-1)/(x+2)
=-1/(x+2)