difference between two equations



I am trying to use two models for prediction:

(1) f(x,y) = 1 / (ax^2 + by^2)
(2) f(x,y) = 1/ (ax + by)^2

The performance is quite different. Is here anyone can help me figure out
the inherent difference between these two equations? Thanks a lot.

Regards,

Jacky


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