Cubing the Cube Roots!?

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If \(x=a+b\)
\(y=aw+bw^2\)
\(z= aw^2+bw\)

where \(w\) is a complex Cube root of unity,
Then,

If \(f(a,b) = x^3+y^3+z^3\),

Evaluate \(f(3,4)\)

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