If you flop such a monster, slow playing is always a good idea. You can be very sure that nobody will get a better hand. If I had KK I would always 3-bet preflop. As you said with AQ you might have gone out then. I would have tried not to let the pot get out of hand. Pot control would have been important here. Sure he thought with his full house with QQQ KK that he would have the better hand, but in this particular situation he should have played more cautiously. In this situation the full house is not worth that much because someone with a queen has four of a kind. After all, you could have had AA that beat him too. He has position on you. He should have kept the pot as small as possible. Let's say Hero is in the CU and holds KK. Villian UTG open raises AQ. Hero 3 bets. Let's say everyone else goes out and Villian calls. After the flop, Villian checks. It's a good flop to c-bet so Hero raised. Villian calls. All alarm clocks have to go off at Hero. What could Villian have to call here? Villian will never call with only an ace because Hero 3-bet preflop. So Villian has a pocket pair or the queen. Therefore, Hero has to realize that he has to control the pot here. Both check on the turn. Villian continues to slow play and Hero realizes that something is wrong and wants to keep the pot small now. On the river, a pot-sized bet comes from Villian, which Hero pays. So he lost a lot less money.
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