# Finding Factoring of a^3-b^3 Using Sum or Difference of Cubes

Factoring Binomials as Sum or difference of cubes Calculator tool is helpful to find the factors of a^3+27 with the sum or difference of cubes process. Get the manual process for Finding Factoring of a^3+27 Using Sum or Difference of Cubes here.

Use '^' for exponent

## Solution for Factoring Binomials as Sum or Difference of Cubes a^3-b^3

The given expression is a^3-b^3

By separating each expression we get

(a^3-b^3)

If we multiply the below expression:

(a-b)(a^2+ab+b^2)

=a (a^2 + a b + b^2) - b (a^2 + a b + b^2)

=a a^2+a^2 (- b)+a a b+a (- b) b+a b^2- b b^2

=a^3 - b^3

So we got the formula of **a ^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})**

The given Polynomial is a^3-b^3

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

=(a^1-b^1)(a^2+a^1b^1+b^2)

After getting indivisual factoring we can cancelout similar terms and The final result will be (a - b) (a^2 + a b + b^2)

### FAQs on Factoring a^3-b^3 with Sum or Difference of Cubes

**1. What are the factors for a a^3-b^3 using the sum or difference of cubes?**

The factor for a^3-b^3 is (a - b) (a^2 + a b + b^2)

**2. How can I use the sum or difference of cubes method to factorize the given equation?**

You can first find the factors of the given equation a^3-b^3, then by performing simple mathematical calculations you can get the desired factors.