Find the value of :
`(67.8)^(2) - (32.2)^(2)`

Answer

To solve the problem \( (67.8)^2 - (32.2)^2 \), we can use the difference of squares formula, which states that:

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

Here, we can let:
- \( a = 67.8 \)
- \( b = 32.2 \)

Now, we can apply the formula:

1. **Calculate \( a + b \)**:
\[ a + b = 67.8 + 32.2 = 100 \]

2. **Calculate \( a - b \)**:
\[ a - b = 67.8 - 32.2 = 35.6 \]

3. **Now substitute these values into the formula**:
\[ (67.8)^2 - (32.2)^2 = (a + b)(a - b) = (100)(35.6) \]

4. **Calculate the final result**:
\[ 100 \times 35.6 = 3560 \]

Thus, the value of \( (67.8)^2 - (32.2)^2 \) is **3560**.