Factoring Polynomials: 64x^3 + 1

[FMMurphy]

I am trying to factor 64x^3 +1
I tried to simplify by making 64 4^3 but it doesn't help me any. Any suggestions?

 

[tkhunny]

Actually, that DID help you.

You should recognize the "Sum of Cubes" and "Difference of Cubes" and "Difference of Squares". These are important special cases.

(a^3 + b^3) = (a+b)(a^2 - ab + b^2)