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54×99×99×45的简便运算？

2025-03-16 04:58:25

推荐回答（3个）

回答1：

解：54×99+99×45
＝99×（55+45）
＝99×100
＝9900。

回答2：

54×99×99×45
=54×(100-1)×(100-1)×45
=54×45×(100-1)²
=2430×(10000-200+1)
=24300000-486000+2430
=23816430

回答3：

54×99×99×45=
5×6×(100-1)^2×(10-1)^2=
5×6(10000-200+1)(100-20+1)=
23816430

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