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