作业帮 > 数学 > 作业

计算:1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)

来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/11/18 18:10:23
计算:1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)
计算:1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)
1/(x+3)(x+4)+1/(x+4)(x+5).1/(x+99)(x+100)
=1/(x+3)-1/(x+4)+1/(x+4)-1/(x+5)+.+1/(x+99)-1/(x+100)
=1/(x+3)-1/(x+100)
=(x+100)/[(x+3)(x+100)]-(x+3)/[(x+3)(x+100)]
=(x+100-x-3)/[(x+3)(x+100)]
=97/[(x+3)(x+100)]