binomial theorem


Definition of 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, "Scientists Discover Another New Phase of Matter," 17 Feb. 2020

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'binomial theorem.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of binomial theorem

1704, in the meaning defined above

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The first known use of binomial theorem was in 1704

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Cite this Entry

“Binomial theorem.” Dictionary, Merriam-Webster, Accessed 24 Jan. 2021.

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