SIMPLIFY : (a+b+c)²+(a-b+c)²+(a+b-c)²
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(a+b+c)²+(a-b+c)²+(a+b-c)²
=a²+b²+c²+2ab+2bc+2ca+a²+b²+c²-2ab-2bc+2ca+a²+b²+c²+2ab-2bc-2ca
=3a²+3b²+3c²+2ab-2bc+2ca
=a²+b²+c²+2ab+2bc+2ca+a²+b²+c²-2ab-2bc+2ca+a²+b²+c²+2ab-2bc-2ca
=3a²+3b²+3c²+2ab-2bc+2ca
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