Final answer:
The Ottoman Empire conquered Byzantine and Persian territories in their military campaigns.
Step-by-step explanation:
The accurate description of military conquests of the Ottoman Empire is conquest of Byzantine and Persian territories. The Ottomans expanded their empire through military campaigns and captured significant territories in the Middle East, including Constantinople (renamed Istanbul) in 1453, which marked the end of the Byzantine Empire. They also conquered parts of Persia, expanding their influence across the region.