Finding Factoring of x^3-8y^3 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^3-8y^3
Given polynomial is x^3-8y^3
It can be expanded using a^3-b^3 formula i.e a3-b3=(a-b)(a2+ab+b2)
(a-b)(a^2+ab+b^2)
=a (a^2 + a b + b^2) - b (a^2 + a b + b^2)
= a^3 + a^2b + ab^2 - a^2b - ab^2 - b^3
= a^3 - b^3
=(x^1-8y^1)(x^2+x^18y^1+8y^2)
So, the factors of x^3-8y^3 are (x - 2 y) (x^2 + 2 x y + 4 y^2)
FAQs on Factoring x^3-8y^3 with Sum or Difference of Cubes
1. What are the factors for a x^3-8y^3 using the sum or difference of cubes?
The factor for x^3-8y^3 is (x - 2 y) (x^2 + 2 x y + 4 y^2)
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^3-8y^3, then by performing simple mathematical calculations you can get the desired factors.