Watching online blitz the other day, I tuned in to a game that had just reached the following position.
White's a GM, Black's an IM, and both players still have 1:30 left in this 3-minute game. Black's only alternative to resignation is to make something happen with his passers, and that's unlikely to happen without the king's help. Black's king was cut off by White's Rc6, so Black played 35...Re8-e6.
Now what? In the game, White played very confusedly:
36.Rc4 Nd6 37.Rc7+ Kf6 38.a4 f4 39.Rc3 e4 40.b5 Nf5 41.Rc6 e3 42.Rxe6+ Kxe6 43.b6 Kd6 44.a5 Kc6 45.Rh2 f3 46.Kc1 f2 0-1
Very strange, and White still had 57 seconds left, too, in the final position.
Before noting what White should have played in the diagrammed position (which many of you have already figured out in any case), let me offer my view about the number one thing a player should do when one has a winning material advantage:
stop the opponent's chances for counterplay. Often that means trading pieces, but there are other common techniques: protecting (significant) weaknesses, fixing the opponent's pawn majority, protecting possible points of penetration, and so on.
Think about it this way: one can only get a single point from a win, so overkill isn't useful. The main thing is to bring home the full point, not to bathe oneself in glory, win with five extra queens - or five extra knights, for that matter. (Not that such stunts aren't entertaining, but right now we're focusing on winning).
Back to the diagram. The simple solution is to liquidate:
36.Rxe6 Kxe6 (36...Nc3+ 37.Kb2 Nxe2 38.Rxe5 is just as bad) and now
37.Rxe4! is self-evidently decisive:
37...fxe4 38.Kc1 (not necessary, but remember: simplest is best)
38...Kd5 39.Kd2 Kc4 40.c3 and it's over: White marches his king up the e-file and collects Black's goodies, while Black cannot (safely) reciprocate, as ...Kxc3 allows b5-6-7-8-touchdown.
It's surprising that White didn't choose this very simple procedure, but let the GM's loss be our gain: we'll never get this exact position, but opportunities to win by liquidating, even at the cost of some of our material advantage, will come to us as long as we're playing the game. Or, to cite the old adage, an ounce of prevention is worth a pound of cure - it's as true in chess as in life.