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if omega is an imaginary cube root of unity , then ( 1 +omega - omega^2)^7 equals

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Solution: We know that , $1+omega +omega ^2=0$ & $omega ^3=1$

Now , $(1+omega -omega ^2)^7=(-omega ^2-omega ^2)^7=(-2omega ^2)^7=-128omega ^2$

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Deependra Verma

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