Word Count : 124

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Given [ \frac{dx}{y^{2}+yz+z^{2}}=\frac{dy}{z^{2}+zx+x^{2}}=\frac{dz}{x^{2}+xy+y^{2}}. ] Because the system is completely symmetric in (x,y,z), first observe that taking [ x=y=z ] makes all three denominators equal, hence the three fractions identical. Therefore [ ______ _______ ___ _________ ________ ___ _______ __________ _____ ______.
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