If \[\mathbf{x+y+z}=0\] then \[\mathbf{3}\left[ \frac{{{\mathbf{x}}^{\mathbf{2}}}}{\mathbf{yz}}\mathbf{+}\frac{{{\mathbf{y}}^{\mathbf{2}}}}{\mathbf{zx}}\mathbf{+}\frac{{{\mathbf{z}}^{\mathbf{2}}}}{\mathbf{xy}} \right]\mathbf{=?}\]

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}\]

If \[\mathbf{x+y+z}=0\] then \[\mathbf{3}\left[ \frac{{{\mathbf{x}}^{\

1.	If \[\mathbf{x+y+z}=0\] then \[\mathbf{3}\left[ \frac{{{\mathbf{x}}^{\mathbf{2}}}}{\mathbf{yz}}\mathbf{+}\frac{{{\mathbf{y}}^{\mathbf{2}}}}{\mathbf{zx}}\mathbf{+}\frac{{{\mathbf{z}}^{\mathbf{2}}}}{\mathbf{xy}} \right]\mathbf{=?}\]
A.	\[{{\left( xyz \right)}^{2}}\]
B.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}\]
C.	9
D.	3
Answer» D. 3

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If \[\mathbf{x+y+z}=0\] then \[\mathbf{3}\left[ \frac{{{\mathbf{x}}^{\mathbf{2}}}}{\mathbf{yz}}\mathbf{+}\frac{{{\mathbf{y}}^{\mathbf{2}}}}{\mathbf{zx}}\mathbf{+}\frac{{{\mathbf{z}}^{\mathbf{2}}}}{\mathbf{xy}} \right]\mathbf{=?}\]

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