How do I win K+R+R vs K+R endgames?

I should clearly be winning but it is hard to do much more than draw if my opponent plays well.

With optimal play you can't really force a trade. I'm asking because in my last game, I was up a rook and a pawn, but my opponent had a passed pawn, and I was forced to trade my passed pawn for his. I eventually traded rooks but at that point I ended up having to sacrifice my rook to avoid my opponent winning. If anyone could give my game a look I'd appreciate it.

I would keep my rooks connected and try to squeeze the king in a corner. I think that sooner or later your opponent will have to either face mate or trade rooks. If he's not using his rook to block checks than just roll on him until he's forced to.

Sorry if my post was vague, I'm on my iphone.

Thanks Slow_pawn and bb_gum234. Here is the game I was referring to. I just realized I didn't need to force stalemate, but if my opponent hadn't blundered I would have had to draw.

[Site "Chess.com iPhone"]
[Date "08/03/2017 03:41PM"]
[White "will_n (997)"]
[Black "richriv123 (1053)"]

1.e4 e5 2.f4 d6 3.fxe5 dxe5 4.Nf3 f6 5.Nc3 c6 6.Bc4 Ne7 7.d4 Bg4 8.dxe5 Qxd1 9.Nxd1 Bxf3 10.gxf3 fxe5 11.Ne3 Ng6 12.Be6 Nf4 13.Bb3 Nd7 14.Nf5 Ng2 15.Kf1 Nf4 16.Bxf4 exf4 17.Rd1 O-O-O 18.Be6 Kc7 19.Kf2 Bc5 20.Kg2 g6 21.Ng7 h5 22.Bxd7 Rxd7 23.Ne6 Kb6 24.Rxd7 h4 25.Nxc5 Kxc5 26.Rxb7 a6 27.Rd1 h3 28.Kh1 g5 29.Rbd7 Rg8 30.Rd8 Rg7 31.R8d7 Rg6 32.e5 g4 33.fxg4 Rxg4 34.Rg1 Rh4 35.e6 f3 36.Rf7 Re4 37.e7 f2 38.Rf1 Re1 39.R7xf2 Rxe7 40.Rf5 Kb6 41.Rf7 Re2 42.R7f2 Re6 43.Rf7 Re2 44.R1f5 Rxc2 45.a4 a5 46.Rf2 Rc1 47.Rf1 Rc2 48.b3 Rb2 49.R1f3 Rb1 50.Rf1 Rxb3 51.R7f3 Rb4 52.Rxh3 Rxa4 53.Rhf3 c5 54.h4 Rxh4 55.Kg2 a4 56.Rf6 Kb5 57.Rb1 Kc4 58.Rbf1 Kb5 59.Kg3 Rb4 60.Ra1 Rb3 61.Kf2 Kb4 62.Ke2 c4 63.Rb6 Kc3 64.Rxb3 Kxb3 65.Kd2 c3 66.Kc1 a3 67.Ra2 Kxa2 68.Kc2 Ka1 69.Kc1 a2 70.Kc2 {Game drawn by stalemate}

I know this doesn't address your question but 5.Nxe5 fxe5 6.Qh5+ is absolutely crushing. If your opponent defends their e5 pawn with f6 you should always see if Nxe5 followed by Qh5+ is viable.

I didn't realize there was pawns on the board as well which changes things a little. I thought you meant as an exercise simply K+R+R vs K+R which is a little different. Can't check the game unfortunately.

Shouldn't be that difficult. Just play around a bit, keep your king safe and make sure not to hang a rook. Offensively look for opportunites to trade rooks and/or to checkmate the king with the stairway method. It will be hard to defend against both of those ideas.  

Looked at the game,and while I can't answer the question,you could avoid the situation by keeping pawns on the board,I saw that after the mentioned passed pawn trade you had hung one of your queenside pawns. My advice is to not worry about this sort of thing until you stop hanging stuff. Then again,I'm only rated a couple hundred more,so I might not be an "expert" on this. So maybe take this with a grain of salt.

Now, seeing the game, I realize there was never a K+R+R vs K+R situation on the board ...

Thank you all very much. Your analysis was very useful, much thanks.

I don't have too much experience in this endgame, but I know an easy way to win it. Simply position your rooks on the neighboring lines and keep slowly moving them towards the enemy king. Eventually you will reach the king and he will have to defend with a rook, after which you can exchange one pair of rooks and easily checkmate him with the other. The game could go like this:

 

Try using an engine to see what you did wrong after every game it helps improving knowing what u do wrong in positions

the main reason after looking at your game I could see was because you king was bad and in threat of back rank mate if one rook left the f-file