"difference of two squares" meaning in English

See difference of two squares in All languages combined, or Wiktionary

Noun

Forms: differences of two squares [plural]
Head templates: {{en-noun|differences of two squares|head=difference of two squares}} difference of two squares (plural differences of two squares)
  1. (algebra) The identity x²-y²=(x+y)(x-y), that holds for all real numbers. Wikipedia link: difference of two squares Categories (topical): Algebra Translations (The mathematical identity): différence de carré [feminine] (French), ра́зность квадра́тов (ráznostʹ kvadrátov) [feminine] (Russian), diferencia de cuadrados [feminine] (Spanish), konjugatregel [common-gender] (Swedish), ผลต่างกำลังสอง (Thai)
    Sense id: en-difference_of_two_squares-en-noun-e2C0WLPd Categories (other): English entries with incorrect language header Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for difference of two squares meaning in English (1.9kB)

{
  "forms": [
    {
      "form": "differences of two squares",
      "tags": [
        "plural"
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  "head_templates": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        },
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          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The fraction (x-8)/(x²-64) can be simplified to 1/(x+8) using the difference of two squares."
        }
      ],
      "glosses": [
        "The identity x²-y²=(x+y)(x-y), that holds for all real numbers."
      ],
      "id": "en-difference_of_two_squares-en-noun-e2C0WLPd",
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      "raw_glosses": [
        "(algebra) The identity x²-y²=(x+y)(x-y), that holds for all real numbers."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "The mathematical identity",
          "tags": [
            "feminine"
          ],
          "word": "différence de carré"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "ráznostʹ kvadrátov",
          "sense": "The mathematical identity",
          "tags": [
            "feminine"
          ],
          "word": "ра́зность квадра́тов"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "The mathematical identity",
          "tags": [
            "feminine"
          ],
          "word": "diferencia de cuadrados"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "The mathematical identity",
          "tags": [
            "common-gender"
          ],
          "word": "konjugatregel"
        },
        {
          "code": "th",
          "lang": "Thai",
          "sense": "The mathematical identity",
          "word": "ผลต่างกำลังสอง"
        }
      ],
      "wikipedia": [
        "difference of two squares"
      ]
    }
  ],
  "word": "difference of two squares"
}
{
  "forms": [
    {
      "form": "differences of two squares",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        "English entries with incorrect language header",
        "English lemmas",
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      "examples": [
        {
          "text": "The fraction (x-8)/(x²-64) can be simplified to 1/(x+8) using the difference of two squares."
        }
      ],
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        "The identity x²-y²=(x+y)(x-y), that holds for all real numbers."
      ],
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        "(algebra) The identity x²-y²=(x+y)(x-y), that holds for all real numbers."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
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      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "The mathematical identity",
      "tags": [
        "feminine"
      ],
      "word": "différence de carré"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "ráznostʹ kvadrátov",
      "sense": "The mathematical identity",
      "tags": [
        "feminine"
      ],
      "word": "ра́зность квадра́тов"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "The mathematical identity",
      "tags": [
        "feminine"
      ],
      "word": "diferencia de cuadrados"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "The mathematical identity",
      "tags": [
        "common-gender"
      ],
      "word": "konjugatregel"
    },
    {
      "code": "th",
      "lang": "Thai",
      "sense": "The mathematical identity",
      "word": "ผลต่างกำลังสอง"
    }
  ],
  "word": "difference of two squares"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.