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二项式定理

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二项式定理

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Also known as Al-Karaji-newton theorem

algebraic expansion of powers of a binomial

AI overview

The binomial theorem is a mathematical formula that tells you how to expand expressions like (a + b)^n into a sum of simpler terms without having to multiply them out manually. It matters because it's a foundational tool in algebra and higher mathematics that saves time in calculations and helps solve problems in probability, statistics, and many other fields.

AI-generated from the Wikipedia summary — may contain errors.

Article · 中文

二项式定理(英語:Binomial theorem)描述了二项式的幂的代数展开。根据该定理,可以将两个数之和的整数次幂诸如展开为类似项之和的恒等式,其中、均为非负整数且。系数是依赖于和的正整数。当某项的指数为1时,通常略去不写。例如: 中的系数被称为二项式系数,记作或(二者值相等)。二项式定理可以推广到任意实数次幂,即广义二项式定理。

Abstract from DBpedia / Wikipedia · CC BY-SA

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