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.
Use '^' for exponent
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 a3+b3=(a+b)(a2-ab+b2)
=(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.