Visitors Falkirk will feel slightly aggrieved as they gave a good account of themselves with neat, tidy football. However, they rarely troubled the Aberdeen goal throughout the 90 minutes.
Aberdeen took three minutes to break the deadlock. A Scott Muirhead corner was headed clear to the edge of the area by Craig Ireland, only for the ball to drop to Jamie Smith whose fierce left-foot volley flew into the net giving the unsighted Matty Glennon no chance.
Falkirk threatened minutes later then Russell Latapy sent Stephen O'Donnell in on goal, but Ryan Esson got down quickly to parry the ball away at the expense of a corner.
After 11 minutes Smith delivered a great ball into the area, which Kevin McNaughton should have made more of instead of screwing his effort well wide from 16 yards.
A poor defensive header from Zander Diamond after 18 minutes allowed O'Donnell to get a shot in from 16 yards, which went narrowly past the upright with Esson beaten.
Aberdeen went further ahead after 22 minutes and it was that man Smith who did the damage again. After picking up the ball from Muirhead, he neatly side-stepped his marker, before placing the ball beyond Glennon from 20 yards.
Falkirk striker Daniel McBreen had the ball in the back of the net six minutes later but his effort was correctly disallowed for offside.
Things got worse for Falkirk 12 minutes before the interval when Chris Clark turned away from Lima to rifle in a great shot from 25 yards, which left Glennon helpless and made the half-time score 3-0.
Eleven minutes into the second half excellent link-up play between Scott Severin and Barry Nicholson saw the latter release the rampaging McNaughton, whose clever first-time lob sailed narrowly over the crossbar.