The Blackhawks (33-16-4) enter the All-Star break with the best record in the Western Conference despite having their most lopsided loss of the season.
Jeff Skinner's 18th goal of the season started the scoring. Skinner went to the net with Jay McClement, creating an outnumbered chance against defenseman Nicklas Hjalmarsson. Skinner knocked the rebound of Elias Lindholm's shot past Corey Crawford from the top of the right circle.
"Getting that first goal was big," Carolina defenseman John-Michael Liles said. "[The Blackhawks] had a lot fans here, we had a lot of fans here. To get that first goal and maybe take some of their fans out of it early helps, and we generated some momentum."
The Hurricanes made it 2-0 when Nash redirected Jaccob Slavin's shot from the left-side boards for his third goal at 13:05.
Liles finished a 2-on-1 with former Blackhawks forward Kris Versteeg at 15:23 to give Carolina a 3-0 lead. Versteeg kicked the puck from his right skate to his stick for his fifth of the season.
"It's not all the time you have a 2-on-1 back-door goal as a defenseman," Liles said. "Versteeg made a great pass to me. I had been out high covering (Patrick) Kane and I just broke off my coverage, and it ended up working out nicely."
Scott Darling (22 saves) relieved Crawford at the start of the second period. Crawford finished with 13 saves on 16 shots.
The change in goaltenders failed to provide a spark: the Hurricanes scored two goals 93 seconds apart in the second period.
Joakim Nordstrom, acquired with Versteeg from Chicago on Sept. 11, scrambled to slot to gather a loose rebound and beat Darling over the blocker at 10:51 for his fifth of the season. Jordan Staal and Andrej Nestrasil were strong on the forecheck to set up Nordstrom, who has scored in three straight games.
Nash, who has been a healthy scratch on numerous occasions this season, struck for his second of the game when he took Skinner's pass from behind the net and slipped a shot inside the short side post for a 5-0 lead at 12:24.
"He's a popular guy in the room," Peters said. "It's been a struggle for certain guys, there is no doubt about that, but it's competitive now. It's very competitive to get in our lineup and stay in our lineup and contribute."
Lack, who was not heavily tested, posted his second shutout in four games, raising his record to 9-9-3.