I am referring to my answer here (undeleted now, so everyone can see it). I had originally posted an erroneous answer, but later edited it to give the following hint:
$\left(u^3-2u^2+1\right)=\left(u-1\right)\left(u^2-u-1\right)$
When I later tried to elaborate my answer, I found that it has already been deleted. I am not quite sure about the reason. If there is something wrong in the hint, please make me aware of it.