binomial theorem

bi·no·mi·al the·o·rem

B b

- US Pronunciation
- US IPA
- [bahy-noh-mee-uh l thee-er-uh m, theer-uh m]
- /baɪˈnoʊ mi əl ˈθi ər əm, ˈθɪər əm/

- US Pronunciation
- US IPA
- [bahy-noh-mee-uh l thee-er-uh m, theer-uh m]
- /baɪˈnoʊ mi əl ˈθi ər əm, ˈθɪər əm/

Definitions of binomial theorem words

noun binomial theorem a mathematical theorem that gives the expansion of any binomial raised to a positive integral power, n. It contains n + 1 terms: (x + a)n = xn + nxn–1a + [n(n–1)/2] xn–2a2 +…+ (nk) xn–kak + … + an, where (nk) = n!/(n–k)!k!, the number of combinations of k items selected from n 3
noun binomial theorem the general formula for the expansion of any binomial when raised to a power that is a positive whole number; the expansion of (a + b)n: discovered by Omar Khayyám and generalized by Sir Isaac Newton (Ex.: (a + b)2 = a2 + 2ab + b2) 3
noun binomial theorem the theorem giving the expansion of a binomial raised to any power. 1
noun binomial theorem (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. 0

before 1865

One of the 28% newest English words

First recorded in 1865-70

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adjective

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preposition

conjunction

determiner

exclamation

This term is known only to a narrow circle of people with rare knowledge. Only 3% of English native speakers know the meaning of this word.

According to our data most of word are more popular. This word is almost not used. It has a much more popular synonym.

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