binomial theorem
A formula giving the expansion of a binomial such as raised to any positive integer…A formula giving the expansion of a binomial such as (a+b) raised to any positive integer power, i.e. (a+b)ⁿ. It's possible to expand the power into a sum of terms of the form axᵇyᶜ where the coefficient of each term is a positive integer. For example
» At the age of twenty-one he wrote a treatise upon the Binomial Theorem, which has had a European vogue.
Hybrid · Tatoeba · CC BY 2.0 FRMeaning
1 sensesA formula giving the expansion of a binomial such as (a+b) raised to any positive integer power, i.e. (a+b)ⁿ. It's possible to expand the power into a sum of terms of the form axᵇyᶜ where the coefficient of each term is a positive integer. For example
(x+y)⁴;=;x⁴,+,4x³ʸ,+,6x²y²,+,4xy³,+,y⁴.
Binomialtheorem, binomischer Lehrsatz
Examples
1 sentencesAt the age of twenty-one he wrote a treatise upon the Binomial Theorem, which has had a European vogue.
Translations
2 languagesBy meaning 1
See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.