Prepare Formula Chart on Algebraic identities with 2nd and 3rd degree
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A formula Chart on Algebraic identities with 2nd and 3rd degree is as follows.
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(a + b) (a - b) = a² - b²
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
(a + b - c)² = a² + b² + c² + 2ab - 2bc - 2ca
(a - b + c)² = a² + b² + c² - 2ab - 2bc + 2ca
(a - b - c)² = a² + b² + c² - 2ab + 2bc - 2ca
(a + b)³ = a³ + b³ + 3ab (a + b)
(a - b)³ = a³ - b³ - 3ab (a - b)
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 - ca)
if a + b + c = 0 then, a³ + b³ + c³ = 3abc
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