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Factoring Help

by JNeutron2186
Tags: factoring
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JNeutron2186
#1
Feb24-13, 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.
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mathwonk
#2
Feb25-13, 02:15 PM
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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.
JNeutron2186
#3
Feb27-13, 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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