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Deriving a statement

  1. Nov 27, 2009 #1
    By using appropriate theorems derive the following statement :

    [tex] a^2 + b^2 + c^2\geq ab + bc +ac[/tex]
     
  2. jcsd
  3. Nov 27, 2009 #2
    [tex](a-b)^2 \geq 0[/tex]
    [tex](b-c)^2 \geq 0[/tex]
    [tex](a-c)^2 \geq 0[/tex]
    Try using these identities to derive your statement. Or if you've learn about the AM-GM inequality, then use it one two variables on the right at a time (this is the same as using the identities above).
     
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