Mahoney added a free throw with 12 seconds remaining then Bucknell's Walter Ellis missed a 3-pointer.
Mahoney had 23 points, becoming the eighth Terrier to reach 1,500 career points, and grabbed 10 rebounds. Javante McCoy had 17 points for Boston University (18-13, 12-6 Patriot League). Walter Whyte added 13 points.
Boston University totaled a season-high 49 points in the second half after trailing 30-25 at halftime.
Boston University also defeated Bucknell 77-57 on Feb. 1.
For more AP college basketball coverage: https://apnews.com/Collegebasketball and http://twitter.com/AP-Top25
Elements of this story were generated by Automated Insights, http://www.automatedinsights.com/ap, using data from STATS LLC, https://www.stats.com
Rick Pitino and Iona among Dick Vitale's mid-major teams to watch
Dickie V takes a look at his favorite teams outside of college basketball's power conferences.
Check out Season 4 - Episode 6 of Hard Cuts! - Via Ivy League
Matt Allocco beats the buzzer and the Tigers win their 9th-straight game to move to 2-0 in Ivy League play
Why Auburn's Jabari Smith might be the No. 1 pick in the 2022 NBA draft, and who might select him
Auburn has emerged as a team that could win the national championship, and Smith is in the conversation as the game's best future pro.