> sage: expr2 = sqrt(a^2-b^2)
> sage: expr2.full_simplify()
> sqrt(a - b)*sqrt(a + b)
I am sorry, there is a mistake.
wrong answer gives
#
var("a,b,c,d,f")
assume(a-b<0)
expr=sqrt((a^2-b^2)*f)
expr2=expr.full_simplify()
show(expr2)
#
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