33.3乘以33.3+66.6乘以66.7+66.7乘以66.7的简便计算

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33.3乘以33.3+66.6乘以66.7+66.7乘以66.7的简便计算
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33.3乘以33.3+66.6乘以66.7+66.7乘以66.7的简便计算
33.3乘以33.3+66.6乘以66.7+66.7乘以66.7的简便计算

33.3乘以33.3+66.6乘以66.7+66.7乘以66.7的简便计算
33.3*33.3+66.6*66.7+66.7*66.7
=33.3*33.3+(2*33.3)*66.7+66.7*66.7
利用公式a^2+b^2+2ab=(a+b)^2

33.3*33.3+(2*33.3)*66.7+66.7*66.7
= (33.3+66.7)^2
= 100*100
= 10000

33.3*33.3+66.6*66.7+66.7*66.7=33.3*33.3+(33.3*66.7+33.3*66.7)+66.7*66.7=33.3*(33.3+66.7)+(33.3+66.7)*66.7=3330+6670=10000