Question

If w is complex cuberoot of unity then
prove that (1+w2)3=-1​

Answer 1

Answer:

Since ,w is cube root of unity, hence by definition.

w^3 = 1

w^3 = 1^3

w^3 - 1^3 = 0

By identity relations in algebra.

(w -1)(1 + w + w^2) = 0

Since, w is not equal to 1, hence what you asked for is proved.

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