急求因式分解 计算 !解答!帮帮忙!
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/25 07:14:26
急求因式分解 计算 !解答!帮帮忙!
(1-1\2^)(1-1\3^)…(1-1\12^)
(1-1\2^)(1-1\3^)…(1-1\12^)
![急求因式分解 计算 !解答!帮帮忙!](/uploads/image/z/16698312-0-2.jpg?t=%E6%80%A5%E6%B1%82%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3+%E8%AE%A1%E7%AE%97+%21%E8%A7%A3%E7%AD%94%21%E5%B8%AE%E5%B8%AE%E5%BF%99%21)
(1-1\2^)(1-1\3^)…(1-1\12^)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)...(1-1/12)(1+/12)
=1/2*(3/2)*(2/3)*..(13/12)
=13/24
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)...(1-1/12)(1+/12)
=1/2*(3/2)*(2/3)*..(13/12)
=13/24