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

The given expression is 5^3+a^3

By separating each expression we get

(5^3+a^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})**

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

=(5^1+a^1)(5^2-5^1a^1+a^2)

After getting indivisual factoring we can cancelout similar terms and The final result will be (a + 5) (a^2 - 5 a + 25)

**1. What are the factors for a 5^3+a^3 using the sum or difference of cubes?**

The factor for 5^3+a^3 is (a + 5) (a^2 - 5 a + 25)

**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 5^3+a^3, then by performing simple mathematical calculations you can get the desired factors.