If ( and ( are complex cube roots of unity, prove that :
(1 – (alfa) (1 – (beta)) (1 – (alfa)^2) (1 – (beta)^2) = 9
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Answer:
(l-w)(l-w^2)×(l-w)^2(l-w^2)^2
l-w^2-w-w^3×[(l+w^2-2w)(l+w^4-2w^2)]
X-X-(w+w^2)×[(-w-2w)(l+w^3,w-2w^2)]
-(-l)×[(-3w)(1+w-2w^2)]
l×[(-3w)(-w^2-2w^2)]
-3w(-3w^2)
9w^3
9×l
9
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Answer:
your answer is in the above picture
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