# Finding Factoring of a^6+b^6 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

Factor Binomial as sum or diff of cube

## Solution for Factoring Binomials as Sum or Difference of Cubes a^6+b^6

The given expression is a^6+b^6

By separating each expression we get

(a^6+b^6)

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

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

=(a^2+b^2)(a^4-a^2b^2+b^4)

After getting indivisual factoring we can cancelout similar terms and The final result will be (a^2 + b^2) (a^4 - a^2 b^2 + b^4)

### FAQs on Factoring a^6+b^6 with Sum or Difference of Cubes

1. What are the factors for a a^6+b^6 using the sum or difference of cubes?

The factor for a^6+b^6 is (a^2 + b^2) (a^4 - a^2 b^2 + b^4)

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^6+b^6, then by performing simple mathematical calculations you can get the desired factors. 