The victory extends the Broncos' winning streak over the Vandals to 13 straight games.
Paul Noonan added 12 points for BSU (11-3, 2-0 Western Athletic Conference).
Idaho tied the game at 56-56 with 18:25 left in the second half following a pair of Mike Hall free throws that came as a result of a technical foul by Larry. The Vandals then took the lead on a Brooks basket, 58-56, with 17:58 left.
But that was it for UI. The Broncos went on a 15-2 run that featured three Larry 3-pointers that built the BSU lead to 73-60.
The Broncos started out on a torrid pace from the field, completing the first half with a shooting percentage of 63.6 percent (21-for-33). They finished the game shooting 61.7 percent.
The Vandals hit 58.6 percent of their first-half attempts (17-for-29), but fell off in the second half as they went just 9-for-28 from the floor.
BSU started to pull away at the end of the first half, building a 48-41 lead on the heels of an 8-2 run with just under three minutes left. Brandon Brown kept Idaho close by scoring six of his nine first-half points during the final 2:17 before halftime to bring Idaho within five, 54-49, to start the second half.