The biggest moment of the match occurred in the very beginning. In the ninth minute, Laurent Koscielny earned a red card by dragging down Edin Dzeko in the box.
Although Wojciech Szczesny made a great save on the penalty shot, which went off his legs and the post, the red card still proved costly.
The Premier League's Twitter account posted a great picture of the penalty shot:
Manchester City was able to get on the board shortly following the incident with a good shot by James Milner in the 21st minute.
Dzeko then extended the lead to 2-0 on a rebound that he easily put in the back of the net in the 32nd minute.
Short-handed and trailing by two goals, Arsenal could not do anything to come back in this match, even after Manchester City evened things up with a red card in the 75th minute.
Despite a late charge, Arsenal was clearly overmatched. City controlled possession for 60 percent of the match and out-shot its opponent 18-9. Only three Arsenal shots were on goal.
This was yet another disappointing result for Arsenal after struggling all season long. The club is sixth in the EPL and has an impressive goal differential, but it does not have enough consistency to compete with the best in the league.
Boos rained down from Emirates Stadium, as fans were upset at the product on the field.
On the other side, Manchester City must be happy with a dominant performance against a solid opponent on the road.
The club remains solidly in second place in the EPL ahead of Chelsea, although it will stay seven points behind Manchester United for the top spot.
Edin Dzeko, Manchester City: A
The forward has been red-hot lately, scoring in his last three Premier League games.
Dzeko pushed the action early and was rewarded with a penalty shot. He then was able to stay active and eventually get a goal on a heads-up play.
He forced the defense to watch him at all times and was a big reason for the victory.
James Milner, Manchester City: A
The entire midfield was brilliant on the day, although James Milner gets the grade because he was the one with the goal.
Manchester City completely controlled this match due to the passing in the middle of the pitch. The squad kept possession and barely allowed Arsenal to even sniff the goal.
Joe Hart had a nice easy day thanks to his squad's steadiness on offense and impressive coverage on defense. Milner and the rest of the midfield were a major part of that.
Laurent Koscielny, Arsenal: F
Whether you agree with the call or not, there is no denying that the one play by Laurent Koscielny cost Arsenal any chance of winning this game.
The defender was in poor position, and he tried to get away with a foul to make up for it.
In the end, this was the most costly moment of the match, as his squad was short-handed for the next 80 minutes.
Theo Walcott, Arsenal: C
The future of Theo Walcott has been discussed at great length over the past few weeks. However, the present is something to be concerned about as well.
Throughout the entire match, the forward had very little impact. While it was tough for anyone to get him the ball, he was virtually unnoticed until the closing minutes.
If Walcott wants the big money, he will need to come up bigger in these matchups against the top teams in the league.
Wojciech Szczesny, Arsenal: B+
Despite giving up two goals, the Arsenal keeper was impressive in net.
Wojciech Szczesny made a tough save on the penalty shot early in the match to keep it scoreless. He also successfully defended Carlos Tevez when he was alone in front of the goal, trying to make it a 3-0 match.
Given the circumstances, there is not much more he could have done.
Arsenal will face Swansea City on Wednesday in the second leg of the F.A. Cup. It will then have a very tough road game against Chelsea on Sunday.
Fortunately, the club follows that up with three straight home matches that should help it get back on the winning side.
Manchester City is off until Saturday, when it faces Fulham in what should be a relatively easy home match.