Couple of differences , 1st query will only return 6 columns 2nd will return 12, !st query all criteria have to match 2nd query any can.
DROP TABLE IF EXISTS A,B;
CREATE TABLE A (C1 INT, C2 INT, C3 INT);
CREATE TABLE B (C1 INT, C2 INT, C3 INT);
INSERT INTO A VALUES (1,1,1),(1,2,4);
INSERT INTO B VALUES (1,1,1),(1,2,3);
SELECT * FROM
A
JOIN B ON A.C1 = B.C1 AND A.C2 = B.C2 AND A.C3 = B.C3;
SELECT *
FROM A
JOIN B B1 ON A.C1 = B1.C1
JOIN B B2 ON A.C2 = B2.C2
JOIN B B3 ON A.C3 = B3.C3;
SELECT * FROM
-> A
-> JOIN B ON A.C1 = B.C1 AND A.C2 = B.C2 AND A.C3 = B.C3;
+------+------+------+------+------+------+
| C1 | C2 | C3 | C1 | C2 | C3 |
+------+------+------+------+------+------+
| 1 | 1 | 1 | 1 | 1 | 1 |
+------+------+------+------+------+------+
1 row in set (0.00 sec)
MariaDB [sandbox]>
MariaDB [sandbox]> SELECT *
-> FROM A
-> JOIN B B1 ON A.C1 = B1.C1
-> JOIN B B2 ON A.C2 = B2.C2
-> JOIN B B3 ON A.C3 = B3.C3;
+------+------+------+------+------+------+------+------+------+------+------+------+
| C1 | C2 | C3 | C1 | C2 | C3 | C1 | C2 | C3 | C1 | C2 | C3 |
+------+------+------+------+------+------+------+------+------+------+------+------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 2 | 3 | 1 | 1 | 1 | 1 | 1 | 1 |
+------+------+------+------+------+------+------+------+------+------+------+------+
2 rows in set (0.00 sec)