What was the cause of the peloponnesian war ?

A. Greeks sought revenge for the persian wars
B. Sparta wanted control of the powerful athenian army
C. A spartan murdered the athenian ruler pericles
D. Many Greeks outside of athens resented athenian domination
I got C.

What is considered alexander the greats most lasting achievement ?
A. His vast empire included Greece and Persia
B. His victory at the Granicus River saved thousands of lives
C. He spread Greek culture to the mediterranean and the middle east
D. He successfully reunited athens thebes
I got C.

The first is wrong.

http://ancienthistory.about.com/od/peloponnesianwar/qt/073009CausesofPeloponnesianWar.htm

Your second answer is right.

For the first question, the correct answer is D. Many Greeks outside of Athens resented Athenian domination. This was indeed one of the main causes of the Peloponnesian War. To arrive at this answer, you can look at the historical context of the war. The Peloponnesian War was fought between Athens and its allies, known as the Delian League, and Sparta and its allies, known as the Peloponnesian League. The Athenians had become very powerful and influential in the Greek world, which created resentment among many other Greek city-states. This led to the formation of the Peloponnesian League, led by Sparta, which sought to challenge Athenian dominance. Thus, the cause of the war was the desire of many Greeks outside of Athens to diminish Athenian power.

For the second question, the correct answer is A. His vast empire included Greece and Persia. This is considered Alexander the Great's most lasting achievement. To determine this, you can examine the major accomplishments and impacts of Alexander's life. Alexander the Great was a skilled military leader who conquered a vast empire, stretching from Greece to Egypt and Persia. This empire allowed for the spread of Greek culture, known as Hellenism, to much of the known world at the time. It had a profound and lasting impact on the regions he conquered, influencing their art, literature, architecture, and even language. Therefore, Alexander's most lasting achievement was the establishment of his vast empire and the spread of Greek culture throughout it.