I recovered from a broken ankle playing basketball now. last time it got really sore. how can i strengthen it faster? the muscles around it?

Ankle strengthening: exercises are widely available and should definitely be done. And this for the long run, not just short term, especially given your basketball career (professional or recreational). Here is an example of these exercises: http://www.sportsinjuryclinic.net/sport-injuries/ankle-achilles-shin-pain/sprained-ankle/ankle-sprain-exercises Good luck and keep on grinding.

Physical Therapy: Your best bet is to see a physical therapist for a strengthening program.