作业帮 > 数学 > 作业

1/(x-4)(x-3)+1/(x-3)(x+2)+1/(x-2)(x-1)+1/(x-1)x+1/x(x+1)=1/x

来源:学生作业帮 编辑:灵鹊做题网作业帮 分类:数学作业 时间:2024/04/29 07:27:47
1/(x-4)(x-3)+1/(x-3)(x+2)+1/(x-2)(x-1)+1/(x-1)x+1/x(x+1)=1/x+1
可以写成:1/(x-4)-1/(x-3)+1/(x-3)-1/(x-2)+1/(x-2)-1/(x-1)+1/(x-1)-1/x+1/x-1/x+1=1/x+1
1/(x-4)(x-3)+1/(x-3)(x+2)+1/(x-2)(x-1)+1/(x-1)x+1/x(x+1)=1/x
1/(x-4)-1/(x-3)+1/(x-3)-1/(x-2)+1/(x-2)-1/(x-1)+1/(x-1)-1/x+1/x-1/x+1 =1/(x-4)-1/(x+1) =5/(x-4)(x+1)