Final answer:
The expression that represents the area of the frame border is (15+2x)(3).
Step-by-step explanation:
The expression that represents the area of the frame border is (15+2x)(3). To find the area of the frame border, you need to subtract the area of the picture from the area of the frame, which is the total area of the frame including the picture. The length of the frame is 15 + 2x inches (adding 3 inches on each side), and the width of the frame is 3 inches. So, the expression for the area of the frame border is (15+2x)(3).