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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. 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. 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. Learn how to use the difference of cubes formula a^3 – b^3 = (a – b) (a^2 + ab + b^2) to evaluate and factorise expressions. See the proof, examples and practice questions on this algebra identity.