(1+0.23+0.33)*(0.23+0.33+0.43)-(1+0.23+0.33+0.43)*(0.23+0.33)如何简便计算

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(1+0.23+0.33)*(0.23+0.33+0.43)-(1+0.23+0.33+0.43)*(0.23+0.33)如何简便计算(1+0.23+0.33)*(0.23+0.33+0.43)-(1

(1+0.23+0.33)*(0.23+0.33+0.43)-(1+0.23+0.33+0.43)*(0.23+0.33)如何简便计算
(1+0.23+0.33)*(0.23+0.33+0.43)-(1+0.23+0.33+0.43)*(0.23+0.33)如何简便计算

(1+0.23+0.33)*(0.23+0.33+0.43)-(1+0.23+0.33+0.43)*(0.23+0.33)如何简便计算
把1+0.23+0.33 和 0.23+0.33 看做一个整体,假设分别为a、b那题目可以如下
a*b+a*0.43-a*b-0.43*b
=0.43(a-b)
=0.43*1
=0.43

(1+0.23+0.33)*(0.23+0.33+0.43)-(1+0.23+0.33+0.43)*(0.23+0.33)
=(0.23+0.33+0.43)+(0.23+0.33)*(0.23+0.33+0.43)-(0.23+033)-(0.23+0.33+0.43)*(0.23+0.33)
=(0.23+0.33+0.43)-(0.23+033)
=0.43

(1+0.23+0.33)*(0.23+0.33+0.43)-(1+0.23+0.33+0.43)*(0.23+0.33)
=(1+0.23+0.33)*(0.23+0.33+0.43)-(1+0.23+0.33)*(0.23+0.33)-0.43*(0.23+0.33)
=(1+0.23+0.33)*[(0.23+0.33+0.43)-(0.23+0.33)]-0.43*(0.23+0.33)
=(1+0.23+0.33)*0.43-0.43*(0.23+0.33)
=0.43*[(1+0.23+0.33)-(0.23+0.33)]
=0.43*1
=0.43