Find the value of `(60^(2)-54^(2))`

Options

A. 342
B. 684
C. 400
D. 604

Answer

To solve the expression \(60^2 - 54^2\), we can use the difference of squares formula, which states that:

\[ a^2 - b^2 = (a - b)(a + b) \]

### Step-by-Step Solution:

1. **Identify \(a\) and \(b\)**:
- Here, \(a = 60\) and \(b = 54\).

2. **Apply the difference of squares formula**:
- We can rewrite \(60^2 - 54^2\) as:
\[ 60^2 - 54^2 = (60 - 54)(60 + 54) \]

3. **Calculate \(60 - 54\)**:
- \(60 - 54 = 6\)

4. **Calculate \(60 + 54\)**:
- \(60 + 54 = 114\)

5. **Multiply the results**:
- Now, we multiply the two results:
\[ 6 \times 114 \]

6. **Perform the multiplication**:
- \(6 \times 114 = 684\)

### Final Result:
Thus, the value of \(60^2 - 54^2\) is \(684\).