The Greek word used for "conquer" is NIKAO.
Yes
445 b.C.
No, they got as far as taking Athens before they were turned back.
From 336 to 325 BCE.
It didn't conquer Rome. Many upper class Romans were impressed with Greek culture and adopted aspects of it to supplement their own staid one.
If someone say that something is "all Greek" to them, it means they don't understand.
Alexander the Great as hegemon of a united Greek army.
Very succesful, as it turned out. He did not even have to physically conquer them all. After a number of succesful sieges and battles, the Greek city-States subjected themselves to him. Philip created the Hellenic League of which all Greek States became a member, with Philip himself as the undisputed leader of the League.
I vincere
Rome didn't conquer the Greeks.
Yes, the Roman Empire did conquer Greece.
Of course it is. after Romans conquer all the Greek city states, Macedonia is found among them. Until 1453 when ottomans invade Byzantines, they also conquer the weak Slavic kingdoms of the north, Macedonia lies inside the eastern roman empire's borders, aka byzantine empire or Greek empire.