Learn how to use the a cube minus b cube formula to find the difference of two cubes or to factorize binomials of cubes. See the proof, the identity and solved examples with steps and answers. The a^3 - b^3 formula is (a - b) (a^2 + ab + b^2). This formula is used to calculate the difference of two cubes. The a cube minus b cube formula is an important algebraic identity used to factor the difference between two cubes. It is expressed as a³ – b³ = (a – b) (a² + ab + b²). A cube B cube formula may be considered as a cube plus b cube formula or a cube minus b cube formula. These two formulas are used to expand the binomial expressions and evaluate the numerical expressions without actually calculating the cubes.