75×3×25×3=(75+25)×3 ___

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Worked solution

1. 分析等式右边的算式并运用乘法分配律展开

根据乘法分配律,等式右边的算式可以展开为:
(75+25)×3=75×3+25×3(75+25)\times 3 = 75\times 3 + 25\times 3

2. 对比等式左右两边并做出判断

等式左边为 75×3×25×375\times 3 \times 25\times 3(表示两积相乘),而等式右边展开后为 75×3+25×375\times 3 + 25\times 3(表示两积之和)。
显然,75×3×25×3≠75×3+25×375\times 3 \times 25\times 3 \neq 75\times 3 + 25\times 3
因此,原等式 75×3×25×3=(75+25)×375\times 3 \times 25\times 3 = (75+25)\times 3 是错误的。

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