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a² - b² = (a + b)(a - b)
difference of 2 squares
a² + b² = (a + bi)(a - bi)
sum of two squares
a² + 2ab + b² = (a + b)²
perfect square trinomial
a² - 2ab + b² = (a - b)²
perfect square trinomial
a³ + 3a²b + 3ab² + b³ = (a + b)³
binomial cubed
a³ - 3a²b + 3ab² - b³ = (a - b)³
binomial cubed
a³ - b³ = (a - b)(a² + ab + b²)
difference of 2 cubes
a³ + b³ = (a + b)(a² - ab + b²)
sum of two cubes