$re = '`(https://[a-zA-Z\d-\.]{0,30}.aaa.com)/t.png\?t=[^&]+&(amp;)*c=m_m`';
$str = 'https://developers.aaa.com/fb/t.png?dmmy=1&fb_sig_in_iframe=1&fb_sig_iframe_key=8e296a067a37563370ded05f5a3bf3ec&fb_sig_locale=bg_BG&fb_sig_in_new_facebook=1&fb_sig_time=1282749119.128&fb_sig_added=1&fb_sig_profile_update_time=1229862039&fb_sig_expires=1282755600&fb_sig_user=761405628&fb_sig_session_key=2.IuyNqrcLQaqPhjzhFiCARg__.3600.1282755600-761405628&fb_sig_ss=igFqJKrhJZWGSRO__Vpx4A__&fb_sig_cookie_sig=a9f110b4fc6a99db01d7d1eb9961fca6&fb_sig_ext_perms=user_birthday,user_religion_politics,user_relationships,user_relationship_details,user_hometown,user_location,user_likes,user_activities,user_interests,user_education_history,user_work_history,user_online_presence,user_website,user_groups,user_events,user_photos,user_videos,user_photo_video_tags,user_notes,user_about_me,user_status,friends_birthday,friends_religion_politics,friends_relationships,friends_relationship_details,friends_hometown,friends_location,friends_likes,friends_activities,friends_interests,friends_education_history,friends_work_history,friends_online_presence,friends_website,friends_groups,friends_events,friends_photos,friends_videos,friends_photo_video_tags,friends_notes,friends_about_me,friends_status&fb_sig_country=bg&fb_sig_api_key=9f7ea9498aabcd12728f8e13369a0528&fb_sig_app_id=177509235268&fb_sig=1a5c6100fa19c1c9b983e2d6ccfc05ef
https://a.aaa.com/t.png?t=abcddds&c=m_m
https://a.aaa.com/t.png?t=abcddds&c=m_m
';
preg_match($re, $str, $matches, PREG_OFFSET_CAPTURE, 0);
// Print the entire match result
var_dump($matches);
Please keep in mind that these code samples are automatically generated and are not guaranteed to work. If you find any syntax errors, feel free to submit a bug report. For a full regex reference for PHP, please visit: http://php.net/manual/en/ref.pcre.php