If \[\omega =\frac{-1+\sqrt{3}i}{2}\]then \[{{(3+\omega +3{{\omega }^{2}})}^{4}}\]= [Karnataka CET 2004; Pb. CET 2000]

If \[\omega =\frac{-1+\sqrt{3}i}{2}\]then \[{{(3+\omega +3{{\omega }^{

1.	If \[\omega =\frac{-1+\sqrt{3}i}{2}\]then \[{{(3+\omega +3{{\omega }^{2}})}^{4}}\]= [Karnataka CET 2004; Pb. CET 2000]
A.	16
B.	-16
C.	16 \[\omega \]
D.	16\[{{\omega }^{2}}\]
Answer» D. 16\[{{\omega }^{2}}\]

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If \[\omega =\frac{-1+\sqrt{3}i}{2}\]then \[{{(3+\omega +3{{\omega }^{2}})}^{4}}\]= [Karnataka CET 2004; Pb. CET 2000]

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