The difference of the cubes is equal to the product of the difference of the cube roots of given two cubes and set of the sum of the squares of cube roots and product of the cube roots of given numbers. The sum of the cubes is equal to the product of the sum of the cube roots of given two cubes and set of the difference of the squares of cube roots and product of the cube roots of given numbers. The sum and difference of cubes formula are useful in the factorization of numbers.

Where,

a, b are values

Both of this sum and difference of polynomials have similar factored patterns. The simplest way to remember sum and difference of cubes formula is a mnemonic. It is the sign of the factorization with the word "SOAP", where the letters stand for "Same sign" as in the middle of the original expression, "Opposite sign", and "Always Positive".