What is (3 + w + 2w^2)^4? where w is cube

Gustavo Lam

Gustavo Lam

Answered question

2022-04-18

What is (3+w+2w2)4?
where w is cube roots of unity
We know that 1+w+w2=0, so
(31w2+2w2)4 or, (2+w2)4
How can I progress after this. Every suggestion will be appreciated.

Answer & Explanation

davelucasnp0j

davelucasnp0j

Beginner2022-04-19Added 16 answers

Welcome to Mathematics Stack Exchange.
To calculate (2+w2)4, I would suggested squaring 2+w2, simplifying, and squaring the result.
(To simplify, remember that w4=w and w2+w+1=0.)

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