Zeige, dass die rationalen Funktionen (in den zwei Variablen ${\displaystyle {}U}$ und ${\displaystyle {}V}$)

${\displaystyle {}P={\frac {-U^{15}}{(1+V)^{7}V^{3}}}\,,}$

${\displaystyle {}Q={\frac {-U^{10}}{(1+V)^{5}V^{2}}}\,}$

und

${\displaystyle {}R={\frac {-U^{6}}{(1+V)^{3}V}}\,}$

die Relation

${\displaystyle {}P^{2}+Q^{3}+R^{5}=0\,}$