2...d5 3.Bxf6 exf6 4.e3: doubled pawns is variation 5 of 6 in the Trompowsky Attack course, a intermediate opening course for White (ECO A45). It runs 19 moves and begins 1. d4 Nf6 2. Bg5 d5 3. Bxf6 exf6 4. e3 Bd6 …. Against the calm 2...d5 White takes on f6 at once. Black gets the bishop pair but doubled pawns. White plays e3 and c4, develops quickly and aims at Black's d5 pawn and the queenside. In the lesson every move is explained on a board and then drilled; it is free.
Move by move
1. d4 – White takes the centre.
1... Nf6 – Black develops.
2. Bg5 – The Trompowsky bishop.
2... d5 – Black takes the centre and stays calm.
3. Bxf6 – White takes on f6 and doubles Black's pawns.
3... exf6 – Black takes back toward the centre. This opens the f8 bishop.
4. e3 – White opens the f1 bishop. The pawns on d4 and e3 are very solid.
4... Bd6 – Black develops the bishop to a good square.
5. c4 – White attacks the d5 pawn from the side.
5... dxc4 – Black takes, so that the d5 pawn is not a target.
6. Bxc4 – White takes back and develops at the same time.
6... O-O – Black castles.
7. Nc3 – The knight develops toward the centre.
7... c6 – Black keeps the knight out of d5 and b5.
8. Nf3 – White develops the last minor piece and gets ready to castle.
8... g6 – Black gives the king a safe square on g7.
The lesson goes on for 3 more moves, each with its explanation.