`(192)^(2)`

Answer

To find the square of 192, we can use the formula for the square of a binomial. We will express 192 as \(200 - 8\) and then apply the formula \((a - b)^2 = a^2 - 2ab + b^2\).

### Step-by-Step Solution:

1. **Express 192 as a binomial**:
\[ 192 = 200 - 8 \]

2. **Apply the binomial square formula**:
Using the formula \((a - b)^2 = a^2 - 2ab + b^2\), where \(a = 200\) and \(b = 8\):
\[ (200 - 8)^2 = 200^2 - 2 \cdot 200 \cdot 8 + 8^2 \]

3. **Calculate \(a^2\)**:
\[ 200^2 = 40000 \]

4. **Calculate \(2ab\)**:
\[ 2 \cdot 200 \cdot 8 = 3200 \]

5. **Calculate \(b^2\)**:
\[ 8^2 = 64 \]

6. **Combine the results**:
Substitute the calculated values back into the equation:
\[ 192^2 = 40000 - 3200 + 64 \]

7. **Perform the subtraction and addition**:
\[ 40000 - 3200 = 36800 \]
\[ 36800 + 64 = 36864 \]

Thus, the square of 192 is:
\[ \boxed{36864} \]