# Finding Factoring of 5^3-a^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

Factor Binomial as sum or diff of cube

## Solution for Factoring Binomials as Sum or Difference of Cubes 5^3-a^3

The given expression is 5^3-a^3

By separating each expression we get

(5^3-a^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 a3-b3=(a-b)(a2+ab+b2)

The given Polynomial is 5^3-a^3

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

=(5^1-a^1)(5^2+5^1a^1+a^2)

After getting indivisual factoring we can cancelout similar terms and The final result will be - (a - 5) (a^2 + 5 a + 25)

### FAQs on Factoring 5^3-a^3 with Sum or Difference of Cubes

1. What are the factors for a 5^3-a^3 using the sum or difference of cubes?

The factor for 5^3-a^3 is - (a - 5) (a^2 + 5 a + 25)

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 5^3-a^3, then by performing simple mathematical calculations you can get the desired factors. 