Cubic difference: a 3-b 3 = (a-b) * (a 2-ab+b 2)

The cube of the sum: (a+b) 3 = a 3+3 (a 2) b+3 (b 2) a+b 3.

Cubic of difference: (a-b) 3 = a 3-3 (a 2) b+3 (b 2) a-b 3.

Extended data:

All cubic formulas include all cubic sum formula and all cubic difference formula. The complete cubic sum (or difference) formula means that the cube of the sum (or difference) of two numbers is equal to the sum (or difference) of the cubic sum (or difference) of these two numbers and the square of each number multiplied by three times the sum (or difference) of another number, that is, (a b? =a？ 3a？ b+3ab？ b？ .

The complete cube formula refers to the cube of the sum (or difference) of two numbers, which is equal to the cube of the first number, plus (or minus) three times the product of the square of the first number and the second number, plus three times the product of the square of the first number and the second number, plus (or minus) the cube of the second number. These two formulas are called the complete cubic formula of multiplication and the cubic formula of binomial [1]? . that is

References:

Complete Cube Formula-Baidu Encyclopedia