
### Instruction: help me answer this question Show that the statement “For any real numbers a and b, a^2 = b^2 implies that a = b” is not true by giving a counter-example, think step by step
### Assistant: We take two numbers a = -3 and b = 3. Here, a^2 = b^2 (9 = 9) but a ≠ b. Hence, the statement ‘a^2 = b^2 implies that a = b’ is not true in general. , The answer is The statement is not true as shown by the counter-example.
