Thread: Pls help me with this complex number problem

If 1,w,w^2 are the cube roots of unity , then find the value of
(1+w)(1+w^2)(1+w^3)(1+w^4)(1+w^5)

Originally Posted by topsquark

Hint: . (First of all, can you prove this?)

-Dan

You mean ?

Originally Posted by math sucks

You mean ?

Ahem!

Um, yeah, what I wrote was kinda silly, wasn't it?

What I was trying to remember was this:


But thinking about it a bit further I see there is a simpler way:

and


So your expression becomes


Now note that

and


-Dan