(A+B+C)^2 +(A+B+C)^2
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(a+b+c)2 = a2+2ab+2ac+b2+2bc+c2
(a-b-c)2 = a2-2ab-2ac+b2+2bc+c2
Pull out like factors :
2a2 + 2b2 + 4bc + 2c2 =
2 • (a2 + b2 + 2bc + c2)
Final result :
2 • (a2 + b2 + 2bc + c2)
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Answer:
(a+b+c)^2 + (a+b+c)^2=(2a+2b+2c)^2 -2(a^2+b^2+c^2+ab+bc+ca)
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