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If omega is the cube root of unity then ...

If `omega` is the cube root of unity then
Assertion : `(1-omega+omega^(2))^(6)+(1+omega-omega^(2))^(6)=128`
Reason : `1+omega+omega^(2)=0`

A

`R` is the only clue to prove `(A)`

B

We can prove by expansion of each term in the LHS

C

`(A)` is wrong `(R )` is correct.

D

`omega^(3)=1` is also needed to prove `(A)`

Text Solution

Verified by Experts

The correct Answer is:
D
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