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Further factorization can be done by :

opt2=[u.factor() for u in opt1]

More interesting :

show(opt2[2].subs([u.rhs()==u.lhs() for u in opt2[:2]]))

Since you used non-ASCII symbols such as α and β, which are not accepted by the default LaTeX compiler in Sage (and possibly not by the peculiar Mathjax engine used in the present site), I can't show you the result. See for yourself.

BTW : since you do not reuse the paramu tuple, I wonder what't's the point of not using the standard `var("alpha, beta") (which BTW does print the relevant greek letters...).

HTH,