Kansas guard Brannen Greene (14) tries to quiet the Texas crowd after a three during the first half, Saturday, Jan. 24, 2015 at Frank Erwin Center in Austin, Texas.

Facing a Texas team with the type of length and defense that has given Kansas trouble this season, the Jayhawks won 75-62 in Austin, Texas, by riding a couple of backups and a veteran starter.

Freshman big man Cliff Alexander saw his shots denied inside often, but stuck with his assertive approach to finish with a team-best 15 points off the bench. Sophomore guard Brannen Greene, meanwhile, added 14 as a substitute on 4-for-5 shooting from three-point range.

Junior forward Perry Ellis showed he had learned from previous trips to the paint against UT and scored 14 points while showing solid shot selection.

The Jayhawks shot 44 percent against the Big 12’s top defensive team. Kansas held Texas to 40-percent shooting and edged the Longhorns 37-36 on the glass.

What’s more, the Jayhawks only turned the ball over three times, all coming in the first half.

KU improved to 16-3 overall and 5-1 in the Big 12.

Texas, led by point guard Isaiah Taylor’s 23 points, fell to 14-5 and 3-3 in conference play.

Kansas has another road test in Texas Wednesday night at TCU.

— See what people were saying about the game during the KUsports.com live blog.

More news and notes from Kansas at Texas

• Kansas bests Texas in near flawless road victory
• Column: Dead-eye shooter Brannen Greene confidently buries Longhorns
• Play of the year? Traylor’s hustle draws high praises
• Cliff Alexander keeps motoring
• Notebook: Injury forced Greene to miss practices before big day at Texas
• Barnes: Freshman Turner better off close to hoop
• Keegan Ratings: Determined Cliff Alexander leads KU off the bench at UT