作业帮简便计算(1+0.23+0.34)*(0.23+0.34+0.65)-(1+0.23+0.34+0.65)*(0.23+0.34)
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/12 07:19:51
简便计算(1+0.23+0.34)*(0.23+0.34+0.65)-(1+0.23+0.34+0.65)*(0.23+0.34)
简便计算(1+0.23+0.34)*(0.23+0.34+0.65)-(1+0.23+0.34+0.65)*(0.23+0.34)
简便计算(1+0.23+0.34)*(0.23+0.34+0.65)-(1+0.23+0.34+0.65)*(0.23+0.34)
令A=0.23+0.34=0.57
原式=(1+A)*(A+0.65)-(1+A+0.65)*A
=A+A2+0.65A+0.65-A-A2-0.65A
=0.65
(1+0.23+0.34)×(0.23+0.34+0.65)-(1+0.23+0.34+0.65)×(0.23+0.34)
=[(1+0.23+0.34)×(0.23+0.34)+(1+0.23+0.34)×(0.65)]
-[(1+0.23+0.34)×(0.23+0.34)+0.65×(0.23+0.34)]
=(1+0.23+0.34)×(0.23+0.34)-(1+0.23+0.34)×(0.23+0.34)+(1+0.23+0.34)×0.65-0.65×(0.23+0.34)
=0.65×[1+0.23+0.34-(0.23+0.34)]
=0.65
令A=0.23+0.34=0.57
原式=(1+A)*(A+0.65)-(1+A+0.65)*A
=A+A2+0.65A+0.65-A-A2-0.65A
=0.65