# Finding Factoring of k^3-x^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 k^3-x^3

The given expression is k^3-x^3

By separating each expression we get

(k^3-x^3)

If we multiply the below expression:

(a-b)(a^2+ab+b^2)

=a (a^2 + a b + b^2) - b (a^2 + a b + b^2)

=a a^2+a^2 (- b)+a a b+a (- b) b+a b^2- b b^2

=a^3 - b^3

So we got the formula of **a ^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})**

The given Polynomial is k^3-x^3

By applying **a ^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})**

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

After getting indivisual factoring we can cancelout similar terms and The final result will be - (- k + x) (k^2 + k x + x^2)

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

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

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