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)
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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