Joe Harris finished with 13 points for the Nets, who used a third-quarter spurt to put away the Grizzlies, who have lost eight straight.
Marc Gasol and Tyreke Evans scored 18 points apiece for Memphis, although Gasol did not play at all in the fourth quarter as a smaller Grizzlies lineup made a dent in Brooklyn's 19-point, second-half lead. Chandler Parsons scored 12, but did not play in the second half after tweaking his right knee.
The Nets opened the second half with a 22-6 run, looking much more fluid on offense than in the opening half. Brooklyn connected on nine of its first 15 shots to build the lead to as many as 19.
Meanwhile, the Memphis offense was stagnant with sloppy passes and 1-on-1 play. Memphis converted only two of its first 17 shots.
The Nets made five 3-pointers while outscoring Memphis 32-18 in the third quarter, carrying a 79-65 lead into the fourth.
Memphis was able to get back in the game to open the final period, composing a 12-3 run. Memphis got the deficit to five points, but the Brooklyn lead was too much to overcome.
The Nets, who already were without D'Angelo Russell and Jeremy Lin with long-term injuries, had more setbacks. Allen Crabbe, who was going to start, was a late scratch with a sore lower back. Then in the second quarter, Rondae Hollis-Jefferson went down with a right ankle sprain.
The game was a rough-looking affair in the first half. Both teams looked sluggish on offense and had already reached double-digit turnovers - 13 for the Nets, 10 for Memphis.
The teams went into halftime tied at 47.
TIP-INS
Nets: Harris started in Crabbe's place. . Carroll's previous season high was 18 on Oct. 25 against Cleveland. .The Nets shot 45 percent from the field, breaking a string of surpassing 50 percent the last two games and three of the previous four. .The Nets had 19 assists, breaking a streak of at least 24 assists in their last five.
UP NEXT
Nets: Visit Houston on Monday.