simplify the following (a+ b +c)^2+(a_b+c)^2+a+b_c)^2
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a²+b²+c²+2ab+2bc+2ca+a²+b²+c²-2ab+2bc-2ca+a²+b²+c²+2ab-2bc-2ca
=3(a²+b²+c²)+2ab+2bc-2ca
=3(a²+b²+c²)+2(ab+bc-ca)
=3(a²+b²+c²)+2ab+2bc-2ca
=3(a²+b²+c²)+2(ab+bc-ca)
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