(1+1/7+1/91/11)*1/7+1/9+1/11+1/21)-(1+1/7+1/9+1/11+1/21)*(1/7+1/9+1/11)(1+1/7+1/9+1/11)*(1/7+1/9+1/11+1/21)-(1+1/7+1/9+1/11+1/21)*(1/7+1/9+1/11) 请计算!把过程写全!

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 12:27:16

(1+1/7+1/91/11)*1/7+1/9+1/11+1/21)-(1+1/7+1/9+1/11+1/21)*(1/7+1/9+1/11)(1+1/7+1/9+1/11)*(1/7+1/9+1/11+1/21)-(1+1/7+1/9+1/11+1/21)*(1/7+1/9+1/11) 请计算!把过程写全!
(1+1/7+1/91/11)*1/7+1/9+1/11+1/21)-(1+1/7+1/9+1/11+1/21)*(1/7+1/9+1/11)
(1+1/7+1/9+1/11)*(1/7+1/9+1/11+1/21)-(1+1/7+1/9+1/11+1/21)*(1/7+1/9+1/11) 请计算!
把过程写全!

(1+1/7+1/91/11)*1/7+1/9+1/11+1/21)-(1+1/7+1/9+1/11+1/21)*(1/7+1/9+1/11)(1+1/7+1/9+1/11)*(1/7+1/9+1/11+1/21)-(1+1/7+1/9+1/11+1/21)*(1/7+1/9+1/11) 请计算!把过程写全!
假设1/7+1/9+1/11=a;1/7+1/9+1/11+1/21=b;
原式=(1+a)*b-(1+b)*a
=b+ab-a-ab
=b-a
=1/21

1/21
乘法分配率
(1/7+1/9+1/11+1/21)+(1/7+1/9+1/11+1/21)*(1/7+1/9+1/11)-(1/7+1/9+1/11)-(1/7+1/9+1/11)*(1/7+1/9+1/11+1/21)=1/21