difference of two squares

noun

The identity x²-y²=(x+y)(x-y), that holds for all real numbers.

“The fraction #92;frac#123;x-8#125;#123;x²-64#125; can be simplified to #92;frac#123;1#125;#123;x#43;8#125; using the difference of two squares.”

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Meanings

noundifference of two squares (plural differences of two squares)

plural differences of two squares

  1. algebraThe identity x²-y²=(x+y)(x-y), that holds for all real numbers.

    The fraction #92;frac#123;x-8#125;#123;x²-64#125; can be simplified to #92;frac#123;1#125;#123;x#43;8#125; using the difference of two squares.

Translations

Catalan diferència de quadrats
  • diferència de quadratsThe mathematical identity
French différence de carré
  • différence de carréThe mathematical identity
Hungarian négyzetek különbsége
  • négyzetek különbségeThe mathematical identity
Italian differenza tra due quadrati
  • differenza tra due quadratiThe mathematical identity
Portuguese diferença de dois quadrados
  • diferença de dois quadradosThe mathematical identity
Russian ра́зность квадра́тов
  • ра́зность квадра́тов (ráznostʹ kvadrátov)The mathematical identity
Spanish diferencia de cuadrados
  • diferencia de cuadradosThe mathematical identity
Swedish konjugatregel
  • konjugatregelThe mathematical identity
Thai ผลต่างกำลังสอง
  • ผลต่างกำลังสองThe mathematical identity
Cite this entry
APA

difference of two squares. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/difference%20of%20two%20squares

MLA

“difference of two squares.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/difference%20of%20two%20squares. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “difference of two squares,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/difference%20of%20two%20squares.

Source: difference of two squares on Wiktionary, CC BY-SA 4.0.