"binomial theorem" meaning in English

See binomial theorem in All languages combined, or Wiktionary

Noun

Head templates: {{en-noun|?}} binomial theorem
  1. (mathematics) 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: Wikipedia link: binomial theorem Categories (topical): Mathematics Translations (formula giving the expansion of an alegraic sum raised to any positive integer power): نَظَرِيَّةُ ذَاتِ الْحَدَّيْنِ (naẓariyyatu ḏāti l-ḥaddayni) [feminine] (Arabic), مُبَرْهَنَةُ ذَاتِ الْحَدَّيْنِ (mubarhanatu ḏāti l-ḥaddayni) [feminine] (Arabic), نَظَرِيَّةُ ذِي الْحَدَّيْنِ (naẓariyyatu ḏī l-ḥaddayni) [feminine] (Arabic), مُبَرْهَنَةُ ذِي الْحَدَّيْنِ (mubarhanatu ḏī l-ḥaddayni) [feminine] (Arabic), نَظَرِيَّةُ الثُّنَاحَدِّيِّ (naẓariyyatu ṯ-ṯunāḥaddiyyi) [feminine] (Arabic), مُبَرْهَنَةُ الثُّنَاحَدِّيِّ (mubarhanatu ṯ-ṯunāḥaddiyyi) [feminine] (Arabic), binomilause (Finnish), Binomialtheorem [neuter] (German), binomischer Lehrsatz [masculine] (German), tvíliðusetning [feminine] (Icelandic), binomialsats [common-gender] (Swedish)
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          "text": "(x+y)⁴;=;x⁴,+,4x³ʸ,+,6x²y²,+,4xy³,+,y⁴."
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      "tags": [
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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