(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)简便计算
问题描述：
(1+23+34)*(23+34+65)-(1+23+34+65)*(23+34)简便计算
答
(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
答
设x=23+34
原式=(x+1)(x+65)-(x+66)*x=x^2+66x+65-x^2-66x=65
答
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
答
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
答
(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