Meaning Of The Word Binomial theorem

Real Dictionary

What's the definition of Binomial theorem? Find Binomial theorem meanings, definitions and more at the Real Dictionary online.

Binomial theorem Meaning

Binomial theorem Definition
Binomial theorem Definition

What's The Definition Of Binomial theorem?

binomial theorem in American English
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 + 2 ab + b2)
noun: the theorem giving the expansion of a binomial raised to any power

binomial theorem in British English
noun: 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

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