# Sum and Difference of Cubes Calculator

The cube of a number 'n' is its third power ie., the result of the number multiplied by itself thrice. A polynomial in the form a^{3} + b^{3} is called a sum of cubes and a ^{3} - b ^{3} is called a difference of cubes. The sum or difference of two cubes can be factored into a product of binomial time a trinomial. Enter the two cube numbers and select the operation to be performed in the sum and difference of cubes calculator, then click calculate to find the sum of cubes and the difference of cubes.

The cube of a number 'n' is its third power ie., the result of the number multiplied by itself thrice. A polynomial in the form a^{3} + b^{3} is called a sum of cubes and a ^{3} - b ^{3} is called a difference of cubes. The sum or difference of two cubes can be factored into a product of binomial time a trinomial. Enter the two cube numbers and select the operation to be performed in the sum and difference of cubes calculator, then click calculate to find the sum of cubes and the difference of cubes.

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#### Sum of Cubes Formula:

a^{3} + b^{3} = ( a + b ) (a^{2} - ab + b^{2})
#### Difference of Cubes Formula:

a^{3} - b^{3} = ( a - b ) (a^{2} + ab + b^{2})
**Where,**
a, b are values
### Example:

Find the sum and difference of the cubes 5 and 6?

#### Solution:

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

5^{3}+6^{3} = (5+6) (5^{2} - (5 × 6 )+6^{2})

= 341

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

5^{3} - 6^{3} = (5-6) (5^{2} + (5 × 6) + 6^{2})

= -91