Cunning complex 3

Algebra Level 4

If \(w\neq 1\) is a cube root of unity and \(a+b=1\) , \({ a }^{ 3 }+{ b }^{ 3 }=1001\). Find the value of \[\left( { aw }^{ 2 }+bw \right) \left( aw+{ bw }^{ 2 } \right) \]

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