The expression:
$$(2x^2+2x+2y^2+2y+1)(2x^2+2x-2y^2-2y)\tag{1}$$
where:
$x>y,\qquad x,y$ are non-negative integers.
Is it possible to find all $x,y$'s that make $(1)$ a perfect square number?
or how to prove there is no such solution?
2026-03-26 10:59:53.1774522793
Find all the solutions that make the expression a perfect square
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