Question

Q4. If 1, ,2

are cube roots of unity, show that

(2 – ) (2 –

2

) (2 –

19) (2 –

23) = 49.​

Answer 1

Answer:

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Answer 2

(2-w)(2-W?)(2-w") (2

= (2 – w)(2- w)(2 - w x w")(2

= (2-w)(2-w)(2-wx 1)(2-w" x 1)

= (2 w)(2 w*)(2 w)(2

= (4 - 2w -2+w*)(4 - 2

= (4 - 2(w +w?) + 1)(4 2(w = (4 – 2(-1) + 1)(4- 2(-1

= (4 +2+1)(4 + 2 +1

= 7 x 7

= 49

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