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Math Help - How can I prove this inequality?

  1. #1
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    How can I prove this inequality?

    Hey guys,
    I've got a problem which shouldn't be too tricky, but for some reason I can't quite get it.2
    I want to prove that x2-2xy+3y2>= 0
    I can see that this is true because x2+3y2 will always be larger than 2xy, but I am not sure how to formalise it as a proof. This is something I often struggle with :\
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  2. #2
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    Re: How can I prove this inequality?

    x^2-2xy+y^2+2y^2=(x-y)^2+2y^2 \geq 0
    Thanks from AlexM
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