An algebra problem by Rohith M.Athreya

Algebra Level 2

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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