化简1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 02:54:01

化简1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)
化简1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)

化简1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)
化简: 1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=?
原式=[1/(x+1)-1/(x+2)]+[(1/(x+2)-1/(x+3)]+[1/(x+3)-1/(x+4)]+[1/(x+4)-1/(x+5)]
=1/(x+1)-1/(x+5)=4/(x+1)(x+5)