CHICAGO, Dec. 3 (Ticker) -- Rasheed Wallace and Chauncey Billups flashed their 3-point range.

Wallace scored 26 points and Billups added 17 and 11 assists as the Detroit Pistons won the opener of a four-game road trip with an 92-79 triumph over the Chicago Bulls.

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The Pistons made 12-of-23 shots from the arc while holding the Bulls to 4-of-14. Detroit starters made 10-of-17 3-pointers as Billups and Wallace sank four apiece and Tayshaun Prince drilled two.

"I had to bring a swagger to us tonight, especially after my terrible performance last night," said Wallace, who added five rebounds, including the 5,000th of his career. "We have the next two days off so there was so reason to save any energy tonight."

The game was tied, 44-44, at halftime before Detroit used a 22-5 run to start the third quarter. Billups scored 11 points and Wallace eight in the third period, when Chicago appeared fatigued.

"We can't use fatigue as an excuse," Bulls center Tyson Chandler said. "We didn't have a good game, we did get off to a great start and then had a meltdown. Then we just let them back in the game. We can't focus on this game because we have another big game Monday."

Prince scored 17 points and Antonio McDyess added 10 and seven rebounds off the bench for the Pistons, who have won four straight games.

"He (Prince) is a major part of our team," Billups said. "I call him the silent assassin. You can see that by what he did tonight."

Luol Deng had 18 points and nine rebounds and Mike Sweetney contributed 15 and eight for Chicago, which has lost two of its last three games.

Bulls point guard Kirk Hinrich struggled, scoring nine points on 4-of-13 shooting.

In the third quarter, Wallace was laughing at the Bulls' inability to stay with the Pistons.

"On our home court, we can't have guys laughing at us," Bulls guard Ben Gordon said. "We need to make shots or commit a hard foul."

"I would not have taken that very well," Chicago coach Scott Skiles said. "I would have done something about it."