# Finding Factoring of a^3-27 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 a^3-27

Given polynomial is a^3-27

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

=(a)(a^2)+(-13)(a^2)+(a)(3a)+(-13)(3a)+(a)(9)+(-13)(9)

=(a)((a2 + 3a + 9))+(-13)((a2 + 3a + 9))

=(a - 3) (a^2 + 3 a + 9)

So, the factors of a^3-27 are (a - 3) (a^2 + 3 a + 9)

### FAQs on Factoring a^3-27 with Sum or Difference of Cubes

**1. What are the factors for a a^3-27 using the sum or difference of cubes?**

The factor for a^3-27 is (a - 3) (a^2 + 3 a + 9)

**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^3-27, then by performing simple mathematical calculations you can get the desired factors.