Both sought political and commercial hegemony .
No. As leader of the anti-Persian Delian League they were natural enemies. The Persians provided money to the opposing Peloponnesian League led by Sparta.
People died needlessly and places were devastated, pursuing the interests of specific aristocratic leaders. The Trojan War was in reality a looting expedition by the Achaeans (Greeks) who pillaged western Asia Minor and the Islands for a decade. The Achaean aristocracy got most of the loot and enslaved people and Asia Minor was devastated. The Persian War was an attempt by the Persian Empire to impose peace on the Eastern Mediterranean under it's overall control, but ended up as achieving nothing but 50 years of war, but also allowed Athens to make an empire of it's own by seizing control of the cities it had allied against the Persian Empire. The Peloponnesian War flowed from from Athens' grab for empire, as this success led it to try to dominate the other Greek cities outside its empire. When this was resisted by the Peloponnesian League, a 27 year-war followed which devastated the Greek world.
They were relieved and elated to have survived the invasion of 480-479. Sparta wanted to evacuate the Greek cities within the Persian empire to eliminate the problem. Athens wanted to carry out an aggressive defence of the cities. Athens led the continuation of the war against Persia for another thirty years Spaon and the other Peloponnesian cities went back to looking after their own territories.
Encouraged the Greeks to attack the Persian on ships
Athens lost the Peloponnesian War.A major contributing factor was the Persians giving financial support to the Spartan alliance which enabled them to assemble a fleet to match that of the Athenians.
Make the very small effort required to ask the question in understandable language.
The Greeks prevailing over Persian expansionism gave to the Greeks confidence in their military arms to defeat Persian armies/navies .
They were inspectors who were sent by the Persian King to make sure their provinces were still loyal
All rugs are made by weaving .
To make his people happy
Segeral city states formed an alliance after the Persian wars to make it possible to combat the Persians.
Athens turned the Delian League, which it led, into an empire of its own, continuing to levy the war funds, by force, and spending them on its own beautification, putting half its people on the public payroll, and becoming a centre of the arts. This lasted until it was defeated in the Peloponnesian War 50 years later, when it was stripped of its empire, and had to make do with its own production.