You did not escape your "/" and you didn't complete your if statements either, please try this:
function checkFBDateFormat($date) {
if(preg_match("/^([0-9]{2})\/([0-9]{2})\/([0-9]{4})$/", $date, $parts)){
if(checkdate($parts[2],$parts[1],$parts[3])) {
return true;
} else {
return false;
}
} else {
return false;
}
}
echo var_dump(checkFBDateFormat('08/09/2012'));