binomial theorem

Fetched 2026-10-26 (cache).

Synonyms: binomial theorems

Antonyms: binomial theorems

Related words from Datamuse; suggestions, not definitions.

Proper noun

1. {{lb|en|mathematics}} A [[formula]] giving the [[expansion]] of a [[binomial]] such as <math> ( a + b ) </math> raised to any [[positive]] [[integer]] [[power]], i.e. <math> ( a + b )^{n} </math>. It's possible to expand the power into a sum of terms of the form <math> ax^{b}y^{c} </math> where the coefficient of each term is a positive integer. For example:

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