See binomial theorem in All languages combined, or Wiktionary
Download JSON data for binomial theorem meaning in English (4.2kB)
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"text": "(x+y)⁴;=;x⁴,+,4x³ʸ,+,6x²y²,+,4xy³,+,y⁴."
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"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:",
"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"
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"(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:"
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{
"code": "ar",
"lang": "Arabic",
"roman": "naẓariyyatu ḏāti l-ḥaddayni",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
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"word": "نَظَرِيَّةُ ذَاتِ الْحَدَّيْنِ"
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"tags": [
"feminine"
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"word": "نَظَرِيَّةُ ذِي الْحَدَّيْنِ"
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"roman": "mubarhanatu ḏī l-ḥaddayni",
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"word": "مُبَرْهَنَةُ ذِي الْحَدَّيْنِ"
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"word": "نَظَرِيَّةُ الثُّنَاحَدِّيِّ"
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"tags": [
"feminine"
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"word": "مُبَرْهَنَةُ الثُّنَاحَدِّيِّ"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"word": "binomilause"
},
{
"code": "de",
"lang": "German",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"neuter"
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"word": "Binomialtheorem"
},
{
"code": "de",
"lang": "German",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"masculine"
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"word": "binomischer Lehrsatz"
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"code": "is",
"lang": "Icelandic",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"feminine"
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"word": "tvíliðusetning"
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{
"code": "sv",
"lang": "Swedish",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
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"text": "(x+y)⁴;=;x⁴,+,4x³ʸ,+,6x²y²,+,4xy³,+,y⁴."
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"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:",
"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"
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"(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:"
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"translations": [
{
"code": "ar",
"lang": "Arabic",
"roman": "naẓariyyatu ḏāti l-ḥaddayni",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"feminine"
],
"word": "نَظَرِيَّةُ ذَاتِ الْحَدَّيْنِ"
},
{
"code": "ar",
"lang": "Arabic",
"roman": "mubarhanatu ḏāti l-ḥaddayni",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"feminine"
],
"word": "مُبَرْهَنَةُ ذَاتِ الْحَدَّيْنِ"
},
{
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"lang": "Arabic",
"roman": "naẓariyyatu ḏī l-ḥaddayni",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"feminine"
],
"word": "نَظَرِيَّةُ ذِي الْحَدَّيْنِ"
},
{
"code": "ar",
"lang": "Arabic",
"roman": "mubarhanatu ḏī l-ḥaddayni",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"feminine"
],
"word": "مُبَرْهَنَةُ ذِي الْحَدَّيْنِ"
},
{
"code": "ar",
"lang": "Arabic",
"roman": "naẓariyyatu ṯ-ṯunāḥaddiyyi",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"feminine"
],
"word": "نَظَرِيَّةُ الثُّنَاحَدِّيِّ"
},
{
"code": "ar",
"lang": "Arabic",
"roman": "mubarhanatu ṯ-ṯunāḥaddiyyi",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"feminine"
],
"word": "مُبَرْهَنَةُ الثُّنَاحَدِّيِّ"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"word": "binomilause"
},
{
"code": "de",
"lang": "German",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"neuter"
],
"word": "Binomialtheorem"
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{
"code": "de",
"lang": "German",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
"masculine"
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"word": "binomischer Lehrsatz"
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{
"code": "is",
"lang": "Icelandic",
"sense": "formula giving the expansion of an alegraic sum raised to any positive integer power",
"tags": [
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"word": "tvíliðusetning"
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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 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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