Inequality from Asia

Given x,y,z are real numbers, find the minimum of $M = \frac{{{x}^{14} - {x}^{6} + 3}}{{x}^{2}{y}^{2} + zx +zy}+\frac{{{y}^{14} - {y}^{6} + 3}}{{y}^{2}{z}^{2} + xy + xz}+\frac{{{z}^{14} - {z}^{6} + 3}}{{z}^{2}{x}^{2} + yz +yx}$

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this is what a student in Asia usually do :>