##  [Binomial Theorem](/binomial-theorem) 

  ##  [Binomial Theorem](https://algebra.quantumdictionary.io/binomial-theorem-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The formula that expands a power of a two-term sum (x + y)^n as a finite sum of terms C(n,k) x^{n-k} y^k, where C(n,k) are the binomial coefficients and n is a nonnegative integer.