
(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)=简便方法
展开全部
设0.12+0.23=a
∴(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)
=(1+a)(a+0.34)-(1+a+0.34)a
=a+0.34+a²+0.34a-a-a²-0.34a
=0.34
∴(1+0.12+0.23)*(0.12+0.23+0.34)-(1+0.12+0.23+0.34)*(0.12+0.23)
=(1+a)(a+0.34)-(1+a+0.34)a
=a+0.34+a²+0.34a-a-a²-0.34a
=0.34
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