Cunning complex 3

Algebra Level 4

If w1w\neq 1 is a cube root of unity and a+b=1a+b=1 , a3+b3=1001{ a }^{ 3 }+{ b }^{ 3 }=1001. Find the value of (aw2+bw)(aw+bw2)\left( { aw }^{ 2 }+bw \right) \left( aw+{ bw }^{ 2 } \right)

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