This is as far as I got. It seems to get more and more complex. Even reducing doesn't seem to help. The third one hasn't been reduced. I didn't understand the proposed solutions either. Oh, well.
F(x) = v(1 + 4x^2  4x^3  4x^5 + 4x^6 + x^8)
F1(x) = (8x12x^220x^4+24x^5+8x^7)/2(v(1+4x^24x^34x^5+4x^6+x^8))
F2(x) = (412x4x^252x^3+72x^44x^5+136x^6112x^7+120x^8196x^9+96x^1072x^11+76x^12+12x^14)/((v((1+4x^24x^34x^5+4x^6+x^8)^3))))
F3(x) = ((0128x156x^2+288x^320x^4+816x^5784x^6+960x^71764x^8+960x^9792x^10+912x^11+168x^14)(v(1+4x^24x^34x^5+4x^6+x^8)^3)((3(1+4x^24x^34x^5+4x^6+x^8)^2)(8x12x^220x^4+24x^5+8x^7)(412x4x^252x^3+72x^44x^5+136x^6112x^7+120x^8196x^9+96x^1072x^11+76x^12+12x^14)/(2(v((1+4x^24x^34x^5+4x^6+x^8)^3))))/(1+4x^24x^34x^5+4x^6+x^8)^3)

Posted by Joshua
on 20100810 12:55:32 