How do I simplify this fraction? The top line reads x squared plus x to the 4th power...
x2 + x4
-------------
1-(x+1)(x-1)
Are you practicing for class or perhaps you're studying on your own? I'm just asking this so that there might be an "official" name to this class of polynomial. If you do know, google the title and add "worksheets", and there should be many sources.
From what I'm seeing, these problems are leading to (or from) factorization, difference of squares, binomial reduction and polynomial reduction.