Question 73
Show that the equation
$$
x^{2}+y^{2}+z^{2}=(x-y)(y-z)(z-x)
$$
has infinitely many solutions in integers $x, y, z$.
$$
x^{2}+y^{2}+z^{2}=(x-y)(y-z)(z-x)
$$
has infinitely many solutions in integers $x, y, z$.
MathNet 2001 — Part 01 Question 73
Math Olympiad Vault · MathNet 2001 — Part 01