An algebra problem by Rohith M.Athreya

Algebra Level pending

Let \(x,y,z\) be reals such that \(x+2y+3z=0\) and \(xy=4\).

Find the value of \( (x+y+z)^{2} +xy+(y+z)^{2} +z^{2}+2xz+zy \).

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