16j509:初二数学题目~数学好的同学进~

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1/(x+1)(x+2)+1/(x+1)(x+2)+……1/(x+99)(x+100)的答案及解题过程?

老兄,题目错了吧
1/(x+1)(x+2)+1/(x+2)(x+3)+..........+1/(x+99)(x+100)?
1/(x+1)(x+2)
=1/(x+1)--1/(x+2)故我的式子最后得:
1/(x+1)--1/(x+100)
=99/(x+1)(x+100)。