作业帮化简：1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/01 23:39:34
化简：1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)
化简：1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)
化简：1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)
1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)
=1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+1/(x+3)-1/(x+4)
=1/(x+1)-1/(x+4)
=[(x+4)-(x+1)]/(x+1)(x+4)
=3/(x+1)(x+4)
1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)
=1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+1/(x+3)-1/(x+4)
= 1/(x+1)-1/(x+4)
= 3/（x²+5x+4)