简便计算:(1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 23:42:19
简便计算:(1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)简便计算:(1+1/11+1

简便计算:(1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)
简便计算:(1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)

简便计算:(1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)

1/11+1/13+1/17=A
1/11+1/13+1/17+1/19=B
原式=(1+A)×B-(1+B)*A
=B+A×B-A-A×B
=B-A
=1/19