USA(J)MO 2017 #2
Posted: Sat Apr 22, 2017 6:23 pm
Consider the equation $(3x^3 + xy^2)(x^2y + 3y^3) = (x - y)^7$
a. Prove that there are infinitely many pairs$(x,y)$ of positive integers satisfying the equation.
b. Describe all pairs $(x,y)$ of positive integers satisfying the equation.
a. Prove that there are infinitely many pairs$(x,y)$ of positive integers satisfying the equation.
b. Describe all pairs $(x,y)$ of positive integers satisfying the equation.