Finding Factoring of 5^3-a^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
Solution for Factoring Binomials as Sum or Difference of Cubes 5^3-a^3
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 a3-b3=(a-b)(a2+ab+b2)
The given Polynomial is 5^3-a^3
By applying a3-b3=(a-b)(a2+ab+b2)
=(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)
FAQs on Factoring 5^3-a^3 with Sum or Difference of Cubes
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.
