化简分式:(x+2/x+1)-(x+3/x+2)+(x-5/x-4)-(x-4/x-3)

问题描述:

化简分式:(x+2/x+1)-(x+3/x+2)+(x-5/x-4)-(x-4/x-3)
1个回答 分类:综合 2014-09-23

问题解答:

我来补答
=[(x+2/x+1)-(x+3/x+2)]+[(x-5/x-4)-(x-4/x-3)]
=[(x+2)(x+2)-(x+3)(x+1)]/(x+1)(x+2)+[(x-5)(x-3)-(x-4)(x-4)]/(x-4)(x-3)
=1/(x+1)(x+2)+(-1)/(x-4)(x-3)
=-10(x-1)/(x+1)(x+2)(x-3)(x-4)
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