The statement that best analyzes a key difference between European expansion in the Western and Eastern Hemispheres is:
"In the Eastern Hemisphere, Europeans were able to set up trade relationships with different peoples, but in the Western Hemisphere, Europeans focused on conquering different peoples."
This statement accurately reflects the historical context, as European powers often engaged in trade and established trading posts in the Eastern Hemisphere, while in the Western Hemisphere, they typically engaged in conquest, colonization, and the establishment of European settlements.