计算:1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)

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计算:1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)
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计算:1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)
计算:1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)

计算:1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)
1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)
=1/(x+3)-1/(x+4)+1/(x+4)-1/(x+5)+.+1/(x+99)-1/(x+100)
=1/(x+3)-1/(x+100)
=(x+100)/[(x+3)(x+100)]-(x+3)/[(x+3)(x+100)]
=(x+100-x-3)/[(x+3)(x+100)]
=97/[(x+3)(x+100)]

两个都是正解啊 。。。