After saying

R.<t> = PolynomialRing(QQ)

both of these works:

expand ( (t-(5-sqrt(7))) * (t-(5+sqrt(7))) )
expand ( (t-(5-sqrt(7))) * (t-(5+sqrt(7))) )

and I got t^2 - 10*t + 18 and t^2 - 4*t + 1 as expected. However,

expand ( (t-(2-sqrt(3))) * (t-(2+sqrt(3))) * (t-(5-sqrt(7))) * (t-(5+sqrt(7))) )

does not work in a similar way. If I put ".simplify_full()" at the end of the expression, I got simplified answer.

What is logic behind this?

--
Jori Mäntysalo

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