# Finding Factoring of x^3+64 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 x^3+64

Given polynomial is x^3+64

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

=(x)(x^2)+(4)(x^2)+(x)(-4x)+(4)(-4x)+(x)(16)+(4)(16)

=(x)((x2 - 4x + 16))+(4)((x2 - 4x + 16))

=(x + 4) (x^2 - 4 x + 16)

So, the factors of x^3+64 are (x + 4) (x^2 - 4 x + 16)

### FAQs on Factoring x^3+64 with Sum or Difference of Cubes

**1. What are the factors for a x^3+64 using the sum or difference of cubes?**

The factor for x^3+64 is (x + 4) (x^2 - 4 x + 16)

**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 x^3+64, then by performing simple mathematical calculations you can get the desired factors.