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Finding Factoring of 2^3-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.

Use '^' for exponent

Factor Binomial as sum or diff of cube

Solution for Factoring Binomials as Sum or Difference of Cubes 2^3-x^3

The given expression is 2^3-x^3

By separating each expression we get

(2^3-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 a3-b3=(a-b)(a2+ab+b2)

The given Polynomial is 2^3-x^3

By applying a3-b3=(a-b)(a2+ab+b2)

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



After getting indivisual factoring we can cancelout similar terms and The final result will be - (x - 2) (x^2 + 2 x + 4)

FAQs on Factoring 2^3-x^3 with Sum or Difference of Cubes

1. What are the factors for a 2^3-x^3 using the sum or difference of cubes?

The factor for 2^3-x^3 is - (x - 2) (x^2 + 2 x + 4)


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 2^3-x^3, then by performing simple mathematical calculations you can get the desired factors.