# 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 $\left( { aw }^{ 2 }+bw \right) \left( aw+{ bw }^{ 2 } \right)$