Polynomials

Identity 1: (a + b)² = a² + 2ab + b²

Identity 2: (a – b)² = a² – 2ab + b²

Identity 3: a² – b²= (a + b)(a – b)

Identity 4: (x + a)(x + b) = x² + (a + b) x + ab

Identity 5: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Identity 6: (a + b)³ = a³ + b³ + 3ab (a + b)

Identity 7: (a – b)³ = a³ – b³ – 3ab (a – b)

Identity 8: a³ + b³ = (a + b) (a² – ab + b²)

Identity 9: a³ -b³ = (a - b) (a² + ab + b²)

Identity 10: a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)