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二项式定理公式

更新时间: 2021-05-24 02:14:58     

1、(a+b)^n=a^n+[C(n,1)]a^(n-1)*b+C(n,2)a^(n-2)b^2+……+C(n-1,n)ab^(n-1)+b^n

2、通项T(k+1)=C(n,k)a^(n-k)*b^k

3、二项式定理,又称牛顿二项式定理,由艾萨克·牛顿于1664-1665年提出。

4、公式为:(a+b)^n=C(n,0)a^n+C(n,1)a^(n-1)b+...+C(n,i)a^(n-i)b^i+...+C(n,n)b^n

5、式中,C(n,i)表示从n个元素中任取i个的组合数=n!/(n-i)!i!

关键词: 二项式 定理 公式

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