Difference of Cubes Calculator

The difference of Cubes Calculator is a free online tool that displays the difference of cube in the polynomial equation. CoolGyan’S online difference of cubes calculator tool performs the calculation faster and it displays the solution in a fraction of seconds.

How to Use the Difference of Cubes Calculator? 

The procedure to use the difference of cubes calculator is as follows:

Step 1: Enter the value of a and b in the input field in the input field

Step 2: Now click the button “Submit” to get the cube difference

Step 3: Finally, the difference of cubes will be displayed in the output field

What is Meant by the Difference of Cubes?

In maths, the difference of cubes will result in factoring the given polynomial expression. If a polynomial is of the form a³ – b³, then the polynomial is the difference of cubes. In case, if the polynomial is a³ + b³, then it is called the sum of cubes. In most of the mathematical problems, we can find the difference of two cubes. Both the polynomial expression (sum or the difference of cubes) will result in the factors with similar patterns with different signs in its factors. The difference of cube formula is given by

a³ – b³  = (a-b)(a²+ab+b²)

In the difference of cube, while factoring, the “minus” sign goes to the linear factor (a-b) and the “plus” sign goes to the quadratic factor (a²+ab+b²)

Solved Example on Difference of Cubes

Example:

Solve x³ – 27

Solution:

Given that, x³ – 27

The given expression can be written as (x)³ – (3)³, which is of the form a³ – b³

Here a = x and b=3

Now, substitute the value of a and b in the difference of cubes formula, we get

(x)³ – (3)³ = (x-3)(x²+3x+9)

Here x-3 is the linear factor

(x²+3x+9) is the quadratic factor.