`(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=ab+bc+ac-x^2`
`<=>x^2-bx-ax+ab+x^2-cx-bx+bc+x^2-ax-cx+ac=ab+bc+ac-x^2`
`<=>4x^2-2bx-2cx-2ax=0`
`<=>(2x)^2-b.2x-c.2x-a.2x=0` `(2x=a+b+c)`
`<=>(a+b+c)^2-b(a+b+c)-c(a+b+c)-a(a+b+c)=0`
`<=>a^2+b^2+c^2+2ab+2bc+2ac-ab-b^2-bc-ac-bc-c^2-a^2-ab-ac=0`
`<=>0=0` (LĐ)