Finding Factoring of a^3-1 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 a^3-1
Given polynomial is a^3-1
It can be expanded using a^3-b^3 formula i.e a3-b3=(a-b)(a2+ab+b2)
=(a)(a^2)+(-1)(a^2)+(a)(a)+(-1)(a)+(a)(1)+(-1)(1)
=(a)((a2 + a + 1))+(-1)((a2 + a + 1))
=(a - 1) (a^2 + a + 1)
So, the factors of a^3-1 are (a - 1) (a^2 + a + 1)
FAQs on Factoring a^3-1 with Sum or Difference of Cubes
1. What are the factors for a a^3-1 using the sum or difference of cubes?
The factor for a^3-1 is (a - 1) (a^2 + a + 1)
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^3-1, then by performing simple mathematical calculations you can get the desired factors.