How to factorize a polynomial involving cyclic and homogeneous terms?

[takercena]

1. Factorize (a-b)^3 + (a+b)^3

2. Attempt of solution are involving cyclic or/and homogeneous polynomials

I want to understand this clearly, can anyone explain this? The answer is 2a(a^2+3b^2)

 

[rock.freak667]

1. Factorize (a-b)^3 + (a+b)^3

[I want to understand this clearly, can anyone explain this? The answer is 2a(a^2+3b^2)

Try expanding (a+b)^3 and (a-b)^3 and the simplifying, then factorizing.

 

[Defennder]

What kind of explanation are you asking for?

 

[takercena]

What kind of explanation are you asking for?

Oh, nevermind, and thanks