If $a,b,c$ are triangle sides, show that:

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> $$a^4+b^4+c^4<2a^2b^2+2b^2c^2+2a^2c^2$$
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It's very similar to $a^2+b^2+c^2≥ab+bc+ac \Rightarrow a^4+b^4+c^4>a^2b^2+b^2c^2+a^2c^2$

I can't continue from here.