Pierre-Edouard Bellemare, Jonathan Marchessault, James Neal and Brendan Leipsic also scored for Vegas, which was denied reaching the six-goal mark -- something it has done only twice previously this season.
The Golden Knights wrapped up a four-game road trip with five of a possible eight team points.
Vegas goalie Marc-Andre Fleury stopped 27 shots, including all 18 across the final two periods.
The Hurricanes replaced goalie Scott Darling after the third goal came just 12:59 into the game.
Defenseman Jaccob Slavin cut the Hurricanes' deficit to 3-1 with 45 seconds left in the first period with a power-play goal.
Carolina was coming off a five-day layoff when it won Saturday night at Detroit, but it was unable to duplicate that kind of performance.
The Golden Knights had scored only 45 first-period goals this season, the fewest in any period, so the three-goal burst to begin the game was an unexpected boost.
Bellemare opened the scoring at 2:55. Miller's power-play goal at 12:20 was followed 39 seconds later by Marchessault finding the net.
Darling stopped only five of eight shots before Cam Ward, who played a night earlier, was summoned to the ice. Darling's record dropped to 9-13-6, adding to a disappointing recent stretch for the player who was supposed to claim the No. 1 goaltending role.
Ward allowed two goals on 25 shots in his relief effort.
Vegas has posted more shots than its opponent in seven consecutive games.
Since mid-December, the Hurricanes also have taken 8-1 and 7-1 losses, but those results were on the road.
The Hurricanes have lost four consecutive home games, going 0-3-1 on home ice this month.
This was the only home game for the Hurricanes between their five-day break and the upcoming All-Star weekend.
--Field Level Media
Vegas | Carolina | |
Colin Miller 3 | Points | Jaccob Slavin 1 |
Colin Miller 1 | Goals | Jaccob Slavin 1 |
Colin Miller 2 | Assists | Jeff Skinner 1 |
Colin Miller 1 | Power Play Goals | Jaccob Slavin 1 |
N/A | Short Handed Goals | N/A |
Marc-Andre Fleury .964 | Save Percentage | Cam Ward .920 |
Marc-Andre Fleury 27 | Saves | Cam Ward 23 |
Team | Shots | Goals | Power Play | Penalty Kill | Penalty Mins | Face Offs Won |
Vegas | 33 | 5 | 2-4 | 3-4 | 10 | 20 |
Carolina | 28 | 1 | 1-4 | 2-4 | 10 | 34 |