deriving a statement

**evagelos** · Nov27-09, 10:02 AM

By using appropriate theorems derive the following statement :

$LaTeX Code: a^2 + b^2 + c^2\\geq ab + bc +ac$

**rasmhop** · Nov27-09, 11:29 AM

$LaTeX Code: (a-b)^2 \\geq 0$
$LaTeX Code: (b-c)^2 \\geq 0$
$LaTeX Code: (a-c)^2 \\geq 0$
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).