binomial theorem

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun 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.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun 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:

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun a theorem giving the expansion of a binomial raised to a given power