List of mathematical identities

This article lists mathematical identities, that is, identically true relations holding in mathematics.

• Bézout's identity (despite its usual name, it is not, properly speaking, an identity)
• Binet-cauchy identity
• Binomial inverse theorem
• Binomial identity
• Brahmagupta–Fibonacci two-square identity
• Candido's identity
• Cassini and Catalan identities
• Degen's eight-square identity
• Difference of two squares
• Euler's four-square identity
• Euler's identity
• Fibonacci's identity see Brahmagupta–Fibonacci identity or Cassini and Catalan identities
• Heine's identity
• Hermite's identity
• Lagrange's identity
• Lagrange's trigonometric identities
• List of logarithmic identities
• MacWilliams identity
• Matrix determinant lemma
• Newton's identity
• Parseval's identity
• Pfister's sixteen-square identity
• Sherman–Morrison formula
• Sophie Germain identity
• Sun's curious identity
• Sylvester's determinant identity
• Vandermonde's identity
• Woodbury matrix identity