# 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.

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

Given polynomial is 5^3-a^3

It can be expanded using a^3-b^3 formula i.e **a ^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})**

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

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

= a^3 + a^2b + ab^2 - a^2b - ab^2 - b^3

= a^3 - b^3

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

So, the factors of 5^3-a^3 are - (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.