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Prove the following inequalities x^2 - xy + y^2 1/2 (x^2 + y^2) for all (x,y) x^2 + xy + y^2 1/2 (x^2 + y^2)

Prove the following inequalities

x^2 - xy + y^2 1/2 (x^2 + y^2) for all (x,y)

x^2 + xy + y^2 1/2 (x^2 + y^2) for all (x,y)

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