Question

can this be simplified ax^2-2axy+ay^2>0

Answer 1

Yep, assuming \(a\not=0\), you can divide it out:
\[x^2-2xy+y^2>0\]
The left side is the expansion of a binomial being squared, like
\[(a\pm b)^2=a^2\pm 2ab+b^2\]