Throughout, a, b, c Z. The following statement is false; give a counterexample: If a | b and b | c, then a 2 | c. Prove: If a | b then a. | b2. The following statement is false; give a counterexample: If a | (b + c), then a | b and a | c. Solution i have done these questions plenty of times..please tell me whhich part are you not understanding?.