The correct answers are B) they claimed large stretches of land in the Southern United States and D) Spain gained great wealth.
The two statements that are true of the Spanish exploration and conquests in the New World are "they claimed large stretches of land in the Southern United States and Spain gained great wealth."
Under the mandate of King Ferdinand de Aragon and Queen Isabel the Castillo, the Spanish explorers conquest many territories in the Americas and the Caribbean. The Spanish exploration included the North part of the Mexican territory or the south part of the actual territory of the United States such as the land of California, Arizona, New Mexico, and Texas, and other territories like Louisiana and Florida. During those years of conquest, many raw materials, natural resources, and richness were sent to Spain, to honor the Crown and their new territories.