Question 165
Find all possible values of digits $a$ and $b$ such that
$$
\left(\overline{ab}\right)^3 = \overline{(a-3)(b-3)(b+2)(a+2)ab}.
$$
(As usual, by $\overline{xyz}$ we denote an integer number, which decimal representation consists of digits $x, y, \dots, z$ in that order.)
$$
\left(\overline{ab}\right)^3 = \overline{(a-3)(b-3)(b+2)(a+2)ab}.
$$
(As usual, by $\overline{xyz}$ we denote an integer number, which decimal representation consists of digits $x, y, \dots, z$ in that order.)