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QUESTION
How do you determine if ##f(x,y)=-x^3+3x^2y^2-2y^2## is homogeneous and what would it's degree be?
You want to check that ##P(lambda x, lambda y) =lambda^n P(x,y)## That can not be the case since P is the sum of three terms of unequal degree. So the answer is no.
