Can the value of (B-C) (C-A) A-B + (C-A) (a-b) B-C + (a-b) (B-C) C-A be 0

Can the value of (B-C) (C-A) A-B + (C-A) (a-b) B-C + (a-b) (B-C) C-A be 0

(B-C) (C-C) (c-c-a) the A-B + (C-A) (a-b) the B-C + (a-b) (B-B) (B-B) (B-C) the C-A = (a-b) / (B-C) (B-C) (B-C) (B-B) (B-B) (a-b) (A-B-A) (A-B-A) (A-B-A) (a-b-b) (a-b-b) (a-b-b) (b-b-c) (b-b-c) and the c-a-b-b-b (a-b-b) (B-C) (B-C) (b-b-c) (b-b-b-c) (b-b-b-c) (b-b-c) (B-C) (B-C) (A-C) (a-a-c) (a-a-c) (a-a-a-a-a-a-a-a-a-a-a-a-a-a) (and