
#1
Feb2413, 05:56 PM

P: 7

Hey everyone first time poster here, I need help with some factoring of cubes. I know this might tie closely to Diophantine equations but here goes.
Under what condition is the expression x^3+y^3+z^3 factorable? Where x,y,z are positive whole numbers. 



#2
Feb2513, 02:15 PM

Sci Advisor
HW Helper
P: 9,421

well it seems to factor if x=1, y=2, z=3, and if x=y=z ≥ 2, and more generally if gcd(x,y,z) > 1.




#3
Feb2713, 04:34 PM

P: 7

My bad for not stating before. Let's assume the gcd(x,y,z) =1 and gcd(x,y)>1



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