- (a + b)(a - b) =
a² - b² - (a + b)² =
a² + b² + 2ab - (a - b)² =
a² + b² - 2ab - (a + b + c)² =
a² + b² + c² + 2(ab + bc + ca) - (a³ + b³) =
(a + b)(a² - ab + b²) - (a³ - b³) =
(a - b)(a² + ab + b²) - (a³ + b³ + c³ - 3abc) =
(a + b + c)(a² + b² + c² - ab - bc - ac) - When a + b + c = 0 →
a³ + b³ + c³ = 3abc
Monday, March 30, 2026
Mathematics - Numbers (Algebraic Identities)
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