If w is the complex cube root of unity then (3-w)(3-w^2)= - Maths -

Question

If w is the complex cube root of unity then (3-w)(3-w^2)=

Rishabh Mittal · Accepted Answer

Dear Student,

3-ω 3-ω2=9-3ω2-3ω+ω3=3 3-ω2-ω+1        Since ω3=1=3 4-1-ω2-ω+1 =3 4-1+ω+ω2 +1 =3 4 +1                                    Since 1+ω+ω2=0=13   ANS

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