Polynomial Identities

(a+b)2 = a2 + 2ab + b2

(a+b)(c+d) = ac + ad + bc + bd

a2 - b2 = (a+b)(a-b) (Difference of squares)

a3 + b3 = (a + b)(a2- ab + b2) (Sum of Cubes)

a3 - b3 = (a - b)(a2+ ab + b2) (Difference of Cubes)

x 2 + (a+b)x + ab = (x + a)(x + b)

if ax2 + bx + c = 0 then x = [ -b + sqrt(b2 - 4ac) ] / 2a (Quadratic Formula)