Difference of Cubes

1. What is Difference of Cubes?

Difference of cubes is the method of calculating the differences of two cubes without actually calculating the cubes. The difference of cubes actually uses algebraic identities to find the required answer.

2. What is Difference of Cube Formula?

The difference of cube formula is the formula that is used to calculate the difference of two cubes. The difference of cube formula in mathematics is,

a3 – b3 = (a – b) (a2 + ab + b2)

3. What is Formula for a3 – b3?

The formula for a3 – b3 is also called the difference of cubes formula and it is given as,

a3 – b3 = (a – b) (a2 + ab + b2)

4. What is Cube of 3?

Cube of 3 is 27, i.e. 33 = 3×3×3 = 27

5. What is Cube of 2?

Cube of 2 is 8, i.e. 23 = 2×2×2 = 8

6. What is Cube of 11?

Cube of 11 is 1331, i.e. 113 = 11×11×11 = 1331



Difference of Cubes

Difference of Cubes is the formula in mathematics that is used to simplify the difference between two cubes. This formula is used to solve the difference of cubes without actually finding the cubes. This formula factorizes the difference of a cube and changes it into other forms. The difference of cube is also called the a3 b3 formula or the a3 – b3 formula.

In this article, we have covered the difference of cubes, the difference of cube formulas, various examples related to that formula, and others in detail.

Table of Content

  • What is Difference of Cubes?
  • Difference of Cubes Formula
  • Derivation of Difference of Cube Formula
  • Factoring Cubes Formula

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What is Difference of Cubes?

Difference of cubes is the basic formula in mathematics that is used to find the difference between the cubes without actually calculating the cubes. The difference of cubes is very useful in solving various polynomial problems, and simplifying algebraic problems. It is the standard algebraic identity that is used in mathematics. The difference of cubes formula is the formula that is used to calculate the differences of the cube and the same formula is added below....

Difference of Cubes Formula

A cube is a number multiplied by itself twice. The difference of cube formula is the formula that is used to find difference of two cubes without actually finding the cube. Suppose we have two numbers a and b then their cubes are a3and b3. Now the difference of their cubes would be, a3 – b3...

Derivation of Difference of Cube Formula

This identity can be proved by multiplying the expressions on the right side and getting equal to the left side expression. Here is the proof of this identity....

Factoring Cubes Formula

We use the difference of cubes formula to easily factorize the cubes in polynomial. This is explained by the example added below:...

Examples on Difference of Cubes

Example 1: Evaluate 123 – 83....

Practice Problems on Difference of Cubes

P1. Factorize a6 – 64...

FAQs on Difference of Cubes

1. What is Difference of Cubes?...