Hi,
I would like to make a "square root" substitution in a particular multivariate polynomial to obtain another multivariate polynomial. For instance, if I have
f(x,y) = x^2 + x^4 y + y^3 + 1
and want to replace x^2
with u
, then the resulting polynomial should be
g(u,y) = u + u^2 y + y^3 + 1
. I tried using subs but didn't work properly. Any ideas how to do this in sage?