Sending more pieces to the kingside, where Black can't defend himself easily due to the lack of space.
9...Kg7 10.Rg1! Rh6 11.g4! hxg4 12.Rxg4 Kf8 13.Qg2 Qh7 14.Rh3 Ra8 15.Kg1 Ke7 16.Rc3!
This intermediate move leaves Black unable to defend both flanks. There followed:
3.a3 b4 4.axb4 axb4 5.Qd1 was a lesser evil, getting rid of the potentially weak a-pawn.