# Binomial theorem

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Binomial theorem](https://ocme.evemisslab.com/en/atlas/atlas-binomial-theorem/)

With commutative multiplication, a binomial power of natural exponent n has a complete finite expansion with binomial coefficients.

atlas-binomial-theorem · canonical_mko

[Binomial theorem](https://ocme.evemisslab.com/en/mko/mko-binomial-theorem/)

## Prerequisite nodes


- [Permutations and combinations](https://ocme.evemisslab.com/en/atlas/atlas-permutation-combination/)
- [Mathematical induction](https://ocme.evemisslab.com/en/atlas/atlas-mathematical-induction/)
- [Univariate polynomials over the rationals](https://ocme.evemisslab.com/en/atlas/atlas-polynomial/)