parmenides51 26.08.2024 16:26 Show that the equation $x^3 +y^3 = 4(x^2y+xy^2 +1)$ has no integer solutions.
hanulyeongsam 25.09.2024 18:21 $ x+y=u,xy=v: u^3-3uv=4(uv+1) u^3-7uv=4 => u|4 => u=1or2or4 $ put it in the question, then no integer solution