(1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/16 14:19:51
(1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=?(1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/

(1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=?
(1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=?

(1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=?
原式=(1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7)(1/5+1/7)-1/9*(1/5+1/7)
=(1/3+1/5+1/7)*(1/5+1/7+1/9-1/5-1/7)-1/9(1/5+1/7)
=(1/3+1/5+1/7)*(1/9)-1/9(1/5+1/7)
=1/9*(1/3+1/5+1/7-1/5-1/7)
=1/9*1/3=1/27