Algebra - Polynomial Identities

Polynomial Identities

(a+b)^{2} = a^{2} + 2ab + b^{2}

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

a^{2} - b^{2} = (a+b)(a-b) (Difference of squares)

a^{3} b^{3} = (a b)(a^{2} ab + b^{2}) (Sum and Difference of Cubes)

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

if ax^{2} + bx + c = 0 then x = ( -b [sqrt](b^{2} - 4ac) ) / 2a
(Quadratic Formula)