a minus b whole cube formula: The (a-b)^3 formula is used to calculate the cube of a binomial. The formula is also known as the cube of the difference between two terms. To find the formula of (a – b)3, we will just multiply (a – b) (a – b) (a – b).
(a – b)3 = (a – b)(a – b)(a – b)
= (a2 – 2ab + b2)(a – b)
= a3 – a2b – 2a2b + 2ab2 + ab2 – b3
= a3 – 3a2b + 3ab2 – b3
= a3 – 3ab(a-b) – b3
Therefore, (a – b)3 formula is:
(a – b)3 = a3 – 3a2b + 3ab2 – b3
When calculating the cube of a binomial, the (a – b)3 formula is employed. This formula is also used to factorize some special sorts of trinomials, such as the square root of a trinomial. These are some of the algebraic identities that can be found in this formula. The formula for the cube of the difference of two terms is represented by the (a-b)3 formula. When calculating the cube of a difference between two terms, this formula can be utilized to do so fast and easily without the need to perform difficult computations.