(x-a)(x-b) +(x-b) (x-c) +(x-c) (x-a )=0 are real but they equal only when a=b = c
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(x-a)(x-b)................
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x²-bx-ax+ab+x²-cx-bx+bc+x²-ax-cx-ac
3x²-2bx-2ax-2cx+ab+bc+ac
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