"We were dominant tactically and our defenders were very good, a solid defensive performance was needed against a team like Cardiff," Wenger told BBC Sport.
"We had good control of the game. It was easier after going 1-0 up but we were focussed. After a Champions League game to come back and win 3-0 was a very convincing performance."
The Gunners extended their lead at the top of the Premier League to seven points.