x^2+2008x+1=0.
α^2+2008α+1=0,β^2+2008β+1=0. α+β=-2008,αβ=1
(1+2010α+α^2)(1+2010β+β^2)=(2α+1+2008α+α^2)(2β+1+2008β+β^2)
=4αβ
=4