ab=42+126a-b=\sqrt{42+12\sqrt{6}}

Algebra Level 1

Given ab=42+126,bc=42126,a-b=\sqrt{42+12\sqrt{6}}, b-c=\sqrt{42-12\sqrt{6}}, what is the value of a2+b2+c2abbcca?a^2+b^2+c^2-ab-bc-ca?

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