Question: Maple symbolic calculation of determinants

I‘m calculating the determinants for applying the cramer's rule in Maple, however the result is very "large" and I can't see the pattern easily. For a general formula of the determinant please refer to this link: http://math.stackexchange.com/questions/193961/determinant-of-a-symmetric-matrix.

 

I wonder is there a way to simplify the answer to a nice symetrical form?

Notice that for n=2 the result is nice, but it becomes messey once n=3 (see attachements for my Maple commands and results):

 

 

The case n=3:

 

 

 

 

 

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