Question: How to use UseAssumptions more efficiently?

I want to solve several systems of equations and force Maple to account for the assumptions which were made for the used parameters.

For example I tried the following:

restart;
with(Statistics):
Y1 := RandomVariable(Beta(nu, omega)):
assume(0 < nu, 0 < omega):
c1:=solve({mu = Mean(Y1), sigma^2 = Variance(Y1)},{nu,omega}, UseAssumptions);

Now the problem is, that UseAssumptions makes a distinction of cases, even if -like in this case- the results do not differ from each other.

I want Maple to make these distinction of cases only, if there realy is a distinction in the result.

How may I realize that?

 

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