Asked by Help
                I don't understand this question. I am suppose to be simplifying this:
u^4-1/u^3-1
I put (u^2+1) (u+1)(u-1) for the top but the bottom, I can't figure out why my book put (u^2+u+1)(u-1) when it's only u^3...where did the extra u come from?
            
        u^4-1/u^3-1
I put (u^2+1) (u+1)(u-1) for the top but the bottom, I can't figure out why my book put (u^2+u+1)(u-1) when it's only u^3...where did the extra u come from?
Answers
                    Answered by
            Steve
            
    u^4 - 1 = (u^2-1)(u^2+1) = (u-1)(u+1)(u^2+1)
u^3 - 1 = (u-1)(u^2+u+1)
divide to get
(u+1)(u^2+1)/(u^2+u+1)
    
u^3 - 1 = (u-1)(u^2+u+1)
divide to get
(u+1)(u^2+1)/(u^2+u+1)
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