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Finding Factoring of x^3-1 Using Sum or Difference of Cubes

Created By : Rina Nayak

Reviewed By : Rina Nayak

Last Updated : Apr 17, 2023

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

Factor Binomial as sum or diff of cube

Factoring Binomials as sum or difference of cubes

Solution for Factoring Binomials as Sum or Difference of Cubes x^3-1

Given polynomial is x^3-1

It can be expanded using a^3-b^3 formula i.e a3-b3=(a-b)(a2+ab+b2)

=(x)(x^2)+(-1)(x^2)+(x)(x)+(-1)(x)+(x)(1)+(-1)(1)

=(x)((x2 + x + 1))+(-1)((x2 + x + 1))

=(x - 1) (x^2 + x + 1)



So, the factors of x^3-1 are (x - 1) (x^2 + x + 1)

FAQs on Factoring x^3-1 with Sum or Difference of Cubes

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

The factor for x^3-1 is (x - 1) (x^2 + x + 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 x^3-1, then by performing simple mathematical calculations you can get the desired factors.