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Let a, b, and c be positive real numbers.  Prove that

a^2 + b^2 + c^2 >= ab + ac + bc.

 

Under what conditions does equality occur? 

 Nov 29, 2021
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 𝑎≥𝑏≥0≥𝑐.

 Nov 29, 2021
edited by HoldMyBeer  Nov 29, 2021

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