Difference of Cubes Formula

About the Difference of Cubes Formula

Without actually computing the cubes, the difference of cubes formula is used to compute the difference of cubes of two values. One of the algebraic identities is this. To factorise cube binomials, the difference of cubes formula is employed. The a3 - b3 formula is also known as the difference of cubes formula. Below is an explanation of the difference of cubes formula. You can get all Maths formulas on one-page visit the Maths Formulas section of HT. 

What Is the Difference of Cubes Formula?

The difference of the cubes formula or a3- b3 formula can be verified, by multiplying (a - b) (a2 + ab + b2) and seeing whether you get a3 - b3.The difference of cubes formula is given as,

a3 - b3= (a - b) (a2 + ab + b2)

Solved example of Difference of Cubes Formula

Example 1: Find the value 1083 - 83 by using the formula of difference of cubes.

Sol: To find 1083 - 83.

Let us suppose that a = 108 and b = 8.

We will substitute these in the formula of difference of cubes.

a3 - b3= (a - b) (a2 + ab + b2)

1083−83 = (108 − 8)(1082 + (108)(8) + 82) = (100)(11664 + 864 + 64) = (100)(12592) = 1259200

Answer: 1083 - 83 = 1,259,200

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Difference of Cubes Formula

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