Can someone help me to simplify this expression:
(x^8+x^6+x^4+x^2+1)/(x^4+x^3+x^2+x+1).
The solution is x^4-x^3+x^2-x+1, but I don't know how to get it.
Last edited by mr fantastic; June 5th 2011 at 01:05 PM.
Reason: Re-titled.
In the instruction it is said that I should use this formula: 1+q^2+q^3+...+q^n=(1-q^n+1)/(1-q). And it is ok for denominator, but I don't know what I should to do with numerator.