If 1,w,w^2 are cube roits of unity show that (p+qw+rw^2) (r+pw+qw^2)=w^2 - Maths - Complex Numbers and Quadratic Equations

Question

If 1,w,w^2 are cube roits of unity show that
(p+qw+rw^2)?(r+pw+qw^2)=w^2

Purusottam Singh · Answer

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If 1,w,w^2 are cube roits of unity show that (p+qw+rw^2)?(r+pw+qw^2)=w^2