Question

Question is on the attachment box.

please find this answer : 1/4a² + 1/4b² + 1/4c² + 1/2ab + 1/2bc + 1/2ac
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Answer 1

Answer:

Given that, 1/4a^2+1/4b^2+1/4c^2+1/2ab+1/2bc+1/2ac

we know that, (a+b+c)^2 = a^2+b^2+c^2+2(ab+bc+ac) = a^2+b^2+c^2+2ab+2bc+2ac

Now , 1/4a^2+1/4b^2+1/4c^2+1/2ab+1/2bc+1/2ac

= (1/2a)^2+(1/2b)^2+(1/2c)^2+2.(1/2a).(1/2b)+2.(1/2b).(1/2c)+2.(1/2a).(1/2c)

= (1/2a+1/2b+1/2c)^2