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what is this????

Algebra Level 1

When does x^3+y^3+z^3-3xyz equals to zero?

Impossible (x,y,z)=(1,4,-2), (1,-2,4), (4,1,-2), (4,-2,1),(-2,1,4),(-2,4,1) x+y+z=0 or x=y=z (x,y,z)=(1,4,-2)

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by Zhiwei William Zhang

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