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from the identity (a+b+c)^2 we get
x^ + y^2 + z^2 = 11
then x^3+y^3+z^3 - 3xyz = (x+y+z) (x^2+y^2+z^2 -xy - yz - zx)
= 5 * ( 11 - ( xy + yz+ zx))
= 5 * ( 11 - 7)
= 5 * 4
= 20
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