binomial theorem

American Heritage® Dictionary of the English Language, Fourth Edition

1. n. Mathematics The theorem that specifies the expansion of any power (a + b)^m of a binomial (a + b) as a certain sum of products aⁱb^j, such as (a + b)² = a² + 2ab + b².

Wiktionary

1. n. mathematics A formula giving the expansion of a binomial such as raised to any positive integer power, i.e. . It's possible to expand the power into a sum of terms of the form where the coefficient of each term is a positive integer. For example:

GNU Webster's 1913

1. adj. (Alg.) the theorem which expresses the law of formation of any power of a binomial.
2. n. (Math.) See under Binomial.

WordNet 3.0

1. n. a theorem giving the expansion of a binomial raised to a given power