binomial theorem


: a theorem that specifies the expansion of a binomial of the form {latex}(x + y)^n = \sum\limits_{k = 0}^{n}{\frac{n!}{(n - k)!k!}}{x^{(n - k)}}{y^{k}}{/latex}

Examples of binomial theorem in a Sentence

Recent Examples on the Web Their new paper refers to Pascal’s triangle, which is maybe most often used by math students learning binomial theorem and using the triangular set of integer values to decide what their coefficients are. Caroline Delbert, Popular Mechanics, 17 Feb. 2020

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Word History

First Known Use

1704, in the meaning defined above

Time Traveler
The first known use of binomial theorem was in 1704

Dictionary Entries Near binomial theorem

Cite this Entry

“Binomial theorem.” Dictionary, Merriam-Webster, Accessed 2 Oct. 2023.

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