#### Answer

The Panthers won by $3$ points.

#### Work Step by Step

The Bulldogs scored 34 field goals and 13 foul goals.
The Panthers scored 38 field goals and 8 foul goals.
Each field goal is 2 points, and each foul goal is 1 point.
The total number of points the Bulldogs scored is:
$34*2+13=68+13=81$
The total number of points the Panthers scored is:
$38*2+8=76+8=84$
The Panthers won by
$84-81=3$ (points)