If your opponent offers you a draw, try to work out why he thinks he's worse off.
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[Event "rated untimed match"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "Unknown"]
[Black "Unknown42"]
[Result "1-0"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "8/p1k5/Pb3Nn1/1B6/7P/4p3/4K3/8 w - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
1. Nd5+ ( { White can try: } 1. h5 Bd4 2. hxg6 Bxf6 3. Kxe3 { The opposite
colored bishop ending is a draw. } ) 1... Kd6 ( { Black can try: } 1... Kb8 2. h5 Nh4 3. Nxb6 axb6 4. h6 Ng6 5. h7 Ka7 6. Kxe3 Nh8 7. Ke4 Nf7 8. Kf5 Nd6+ 9. Ke6 Nxb5 10. h8=Q Kxa6 { White wins with a large material advantage. } ) 2. Nxb6 Kc5 3. Bd3 Nf4+ 4. Kxe3 Nxd3 5. Kxd3 Kxb6 6. h5 Kxa6 7. h6 Kb5 8. h7 a5 9. h8=Q { White wins with a large material advantage. } 1-0