**Answer:**

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)

= (a^{2} – 2ab + b^{2})(a – b)

= a^{3} – a^{2}b – 2a^{2}b + 2ab^{2} + ab^{2} – b^{3}

= a^{3} – 3a^{2}b + 3ab^{2} – b^{3}

= a^{3} – 3ab(a-b) – b^{3}

Therefore, (a – b)^{3} formula is:

(a – b)^{3} = a^{3} – 3a^{2}b + 3ab^{2} – b^{3}

**Explanation: **

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.

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