计算1除以(x-y)(x-2)加1除以(x-2)(x-3)加1除以(x-3)(x-4)加1除以(x-4)(x-5)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/27 19:14:48

计算1除以(x-y)(x-2)加1除以(x-2)(x-3)加1除以(x-3)(x-4)加1除以(x-4)(x-5)
计算1除以(x-y)(x-2)加1除以(x-2)(x-3)加1除以(x-3)(x-4)加1除以(x-4)(x-5)

计算1除以(x-y)(x-2)加1除以(x-2)(x-3)加1除以(x-3)(x-4)加1除以(x-4)(x-5)
题目是这样的吧:
1/[(x-1)(x-2)] + 1/[(x-2)(x-3)] + 1/[(x-3)(x-4)] + 1/[(x-4)(x-5)]
= 1/(x-2) - 1/(x-1) + 1/(x-3) - 1/(x-2) +1/(x-4) - 1/(x-3) +1/(x-5) - 1/(x-4)
= 1/(x-5) - 1/(x-1)
= 4/[(x-5)(x-1)]