a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca).

Fri, 01 May 2026 07:41:15 +0000

# The Powerful Identity: a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − ab − bc − ca) Mathematics is filled with elegant identities that reveal deep connections between algebraic expressions. One such powerful formula is: a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − ab − bc − ca) This identity is not only a neat algebraic trick but also a valuable tool in number theory, algebra, and even computational math. Whether you're simplifying expressions for exams or exploring deeper mathematical patterns, understanding this identity can save time and insight.