Carter and Dirk Nowitzki added 18 points apiece for the Mavericks, who led by as many as 32 while bouncing back from a home loss to San Antonio on Thursday.
"We were locked in from the jump and we didn't have to play catch-up, and I think that's good for our team,'' Carter said. "We had to bring more energy and we had to do it from the beginning. We had to hit those guys first because they do a great job of trying to take teams out of their game early.''
"Whenever you feel too good about yourself somebody smacks you,'' Gibson said. "That's a part of the NBA.''
The Mavericks took command with a 15-2 run to end the first quarter, turning a 17-15 deficit into a 30-19 lead. Carter, who entered just before the run started, had seven points during the spurt.
Dallas continued to pull away early in the second quarter, using a pair of four-point plays -- one each by Nowitzki and Jae Crowder -- to stretch the lead to 43-23 less than 4 minutes into the period. The Mavericks led by as many as 29 points before taking a 61-34 advantage into halftime.
"There is no doubt that we played well,'' Dallas coach Rick Carlisle said. "When we rebound and defend like that, we are a formidable team.
"(The Bulls) are very physical. They get up on our ball handlers and can cause problems. This was a great win for us.''
The Bulls gave up plenty of points, but much of their first-half woes came on the offensive end. They didn't manage to score 20 points in either quarter, going 14 for 36 (38.9 percent) from the field and committing 13 turnovers in the first half.
Carter led the Mavericks with 14 points on 4-for-5 shooting, including 3 of 4 on 3-pointers.
"When he plays the way he played, we're a whole different team,'' Ellis said.
Dallas was 7 for 13 from long range in the first half, compared with 1 of 6 for the Bulls.
"You have to give them credit,'' Chicago coach Tom Thibodeau said. "They played well, they shot well. They are a terrific offensive team. They got their confidence early and then they can go all night.''
The Mavs led 86-56 entering the fourth quarter and it appeared the final 12 minutes would be extended garbage time, but the Bulls made things a bit interesting by scoring the first 16 points of the period to pull to 86-72 on a three-point play by Noah with 6½ minutes remaining.
Carter finally ended the run when he scored on a layup with 6:16 left to make it 88-72. The Bulls created some tense moments on the Dallas bench, but they never got the deficit under 14 points.
"That lead was just too big,'' Gibson said.
NOTES: Bulls F Luol Deng missed his fourth straight game with a sore left Achilles. Deng said he wants to make sure the injury is healed before he returns so he doesn't have a setback. "In the past, I would've been out there and playing and then missing another month or so, and I really don't want to do that,'' he said at the morning shootaround. ... Nowitzki had six field goals to reach 9,002 for his career. ... Dallas F Brandan Wright returned after missing a game with flu-like symptoms, but G Wayne Ellington sat out with flu-like symptoms. ... In their 11 wins, the Bulls have held opponents to an average of 82.5 points.