(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)简便计算

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/08 23:37:09
(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)简便计算(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)简便计算(1+23+34)*

(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)简便计算
(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)简便计算

(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)简便计算
(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)
=(23+34+65)+(23+34)*(23+34+65)-(23+34)-(23+34)*(23+34+65)
=23+34+65-(23+34)
=23+34+65-23-34
=65

不用楼上那么麻烦!
设A=23+34
原式
=(1+A)*(A+65)-(1+A+65)*(A)
=A²+A+65A+65-A²-A-65A
=65

(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)
=(23+34)+65+(23+34)²+65×(23+34)-【(23+34)²+66×(23+34)】
=66×(23+34)+65+(23+34)²-(23+34)²-66×(23+34)
=65

设x=23+34
原式=(x+1)(x+65)-(x+66)*x=x^2+66x+65-x^2-66x=65

原式=(1+23+34)*(23+34)+(1+23+34)*65-(1+23+34)*(23+34)-65*(23+34)
=(1+23+34)*(23+34)-(1+23+34)*(23+34)+(1+23+34)*65-65*(23+34)
=65