Help in this analysis exercise i found on the internet | Mathematics | Page 1

rancid forum Oct 10, 2023, 10:05 AM

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How can i proof the first question?

raven obsidianBOT Oct 10, 2023, 10:05 AM

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swift yoke Oct 10, 2023, 10:29 AM

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$(a-b)^2 = a^2-2ab+b^2$
$(b-c)^2 = b^2-2bc +c^2$
$(a-c)^2 = a^2-2ac+c^2$

So $(a-b)^2 + (b-c)^2 + (a-c)^2 = 2(a^2+b^2+c^2 - (ab+bc+ac))$

But a sum of squares is always positive, so....

#Help in this analysis exercise i found on the internet