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(a+b)² = a² + 2ab + b²
(a-b)² = a² - 2ab + b²
(a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ca
(a+b)³ = a³ + 3a²b + 3ab² + b³
(a+b)³ = a³ + b³ + 3ab(a+b)
(a-b)³ = a³ - 3a²b + 3ab² - b³
(a-b)³ = a³ - b³ - 3ab(a-b)
(a+b+c)³ = a³ + b³ + c³ + 3(a+b)(b+c)(c+a)
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)
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