are there any positive integers for x,y,a,b, that satisfy x^3-y^2+ab=a-b(x+y)

and furthermore, if there are, is there an infinite number of solutions?

and furthermore, if there are, is there an infinite number of solutions?

are there any positive integers for x,y,a,b, that satisfy x^3-y^2+ab=a-b(x+y)

and furthermore, if there are, is there an infinite number of solutions?

and furthermore, if there are, is there an infinite number of solutions?