American Heritage® Dictionary of the English Language, Fourth Edition
- 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 aibj, such as (a + b)2 = a2 + 2ab + b2.
- 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
- adj. (Alg.) the theorem which expresses the law of formation of any power of a binomial.
- n. (Math.) See under Binomial.
- n. a theorem giving the expansion of a binomial raised to a given power
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