How do you determine if #f(x,y)=-x^3+3x^2y^2-2y^2# is homogeneous and what would it's degree be?

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How do you determine if #f(x,y)=-x^3+3x^2y^2-2y^2# is homogeneous and what would it's degree be?

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Answer 1 · 2017-01-22T20:11:57

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.

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How do you determine if #f(x,y)=-x^3+3x^2y^2-2y^2# is homogeneous and what would it's degree be?

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