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If omega is the imaginary cube root of 1...

If `omega` is the imaginary cube root of 1 then prove that `(a+bomega+comega^2)^3+(a+bomega^2+comega)^3`=`(2a-b-c)(2b-a-c)(2c-a-b)`

A

(a+b-c)(b+c-a)(c+a-b)

B

(a-b-c)(b-c-a)(c-a-b)

C

(2a-b-c)(2b-c-a)(2c-a-b)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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