Write (T) for true and (F) for false for each of the statements given below:
The difference of two perfect squares is a perfect square.

Answer

To determine whether the statement "The difference of two perfect squares is a perfect square" is true or false, we can analyze it step by step.

### Step-by-Step Solution:

1. **Understanding Perfect Squares**:
- A perfect square is a number that can be expressed as the square of an integer. For example, \(1^2 = 1\), \(2^2 = 4\), \(3^2 = 9\), and so on.

2. **Identifying Two Perfect Squares**:
- Let's take two perfect squares: \(4\) (which is \(2^2\)) and \(9\) (which is \(3^2\)).

3. **Calculating the Difference**:
- Now, we calculate the difference between these two perfect squares:
\[ 9 - 4 = 5 \]

4. **Checking if the Result is a Perfect Square**:
- Next, we need to check if \(5\) is a perfect square. The perfect squares near \(5\) are \(4\) (which is \(2^2\)) and \(9\) (which is \(3^2\)). Since \(5\) cannot be expressed as the square of any integer, it is not a perfect square.

5. **Conclusion**:
- Since we found an example where the difference of two perfect squares (\(9 - 4 = 5\)) is not a perfect square, we conclude that the statement is false.

### Final Answer:
The statement "The difference of two perfect squares is a perfect square" is **(F)** for false.