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2014-07-18
展开全部
[(x-1)/(x+1)-(x+1)/(x+2)]除以[(x的平方+4x+4)分之(x+3)]
=[(x-1)(x+2)-(x+1)^2]/[(x+1)(x+2)]×(x+2)^2/(x+3)
=(x-2-2x-1)/(x+1)×(x+2)/(x+3)
=-(x+3)/(x+1)×(x+2)/(x+3)
=(x+2)/(x+1)
=1+1/(x+1)
=[(x-1)(x+2)-(x+1)^2]/[(x+1)(x+2)]×(x+2)^2/(x+3)
=(x-2-2x-1)/(x+1)×(x+2)/(x+3)
=-(x+3)/(x+1)×(x+2)/(x+3)
=(x+2)/(x+1)
=1+1/(x+1)
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