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Prove that 64(x+y+z)^3-(2x+y+z)^3-(x+2...

Prove that
`64(x+y+z)^3-(2x+y+z)^3-(x+2y+z)^3-(x+y+2z)^3=3(3x+3y+2z)(3x+2y+3z)(2x+3y+3z)`

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