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Determine all solutions in non-zero integers $a$ and $b$ of the equation $$(a^2+b)(a+b^2) = (a-b)^3.$$ Suppose that the set $\{1,2,\cdots, 1998\}$ has been ...
Determine all solutions in non-zero integers $a$ and $b$ of the equation $$(a^2+b)(a+b^2) = (a-b)^3.$$ Suppose that the set $\{1,2,\cdots, 1998\}$ has been ...