KöMaL 2006 B3893

Solve the equation ( $x^2$ + $y^2$ ) $^3$ = ( $x^3$ - $y^3$ ) $^2$ on the set of real numbers.

Official text KöMaL. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.