Preheat your oven to 400 degrees Fahrenheit and prepare a large sheet pan by lining it with parchment paper or lightly greasing it.
Slice the beef into very thin strips. Slice the bell peppers and onion into similar thin strips so they cook evenly.
Place the sliced beef, peppers, and onions onto the sheet pan. Drizzle olive oil over everything and sprinkle salt, pepper, garlic powder, and paprika evenly across the top.
Use your hands or tongs to mix everything well on the pan. Make sure all pieces are coated with oil and seasoning. Spread the mixture into a single layer for even cooking.
Bake in the oven for 15 to 20 minutes. Halfway through cooking, remove the pan and stir the mixture to ensure even cooking and light browning.
Once the beef is fully cooked and the vegetables are soft, remove the pan from the oven. Place slices of provolone cheese over the top of the hot mixture.
Return the pan to the oven for 2 to 3 minutes until the cheese is fully melted and slightly bubbly.
Slice open the hoagie rolls and warm them if desired.
Spoon the cheesy beef and vegetable mixture into the rolls. Serve immediately while hot.