八年级下册数学分式1/(a-1)（a-2)+1/(a-2)(a-3)+1(a-3)(a-4)+.+1(a-9)(a-10)结果是多少

分类: 作业答案 • 2022-01-09 18:02:45

问题描述：

答

1/(a-1)（a-2)+1/(a-2)(a-3)+1(a-3)(a-4)+.+1(a-9)(a-10)
=1/(a-2)-1/(a-1)+1/(a-3)-1/(a-2)+.1/(a-10)-1/(a-9)
=1/(a-10)-1/(a-1)
=9/(a-10)(a-1)