Not that easy 3

Calculus Level 3

If \(u = \log(x^3 + y^3 + z^3 -3xyz )\), simplify

\[\large \dfrac{\partial^{2}u}{\partial x^{2}} + \dfrac{\partial^{2}u }{\partial y^2} +\dfrac{\partial^{2} u}{\partial z^{2}} + 2\dfrac{\partial^{2}u }{\partial x\partial y} +2\dfrac{\partial^{2}u }{\partial y\partial z} + 2\dfrac{\partial^{2}u }{\partial z\partial x} . \]


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