`(104xx 96)=?`

Options

A. `9894`
B. `9984`
C. `9684`
D. `9884`

Explanation

To solve the multiplication of \( 104 \times 96 \) using the difference of squares, we can follow these steps:

### Step-by-Step Solution:

1. **Rewrite the Numbers**:
We can express \( 104 \) and \( 96 \) in a different form:
\[ 104 = 100 + 4 \quad \text{and} \quad 96 = 100 - 4 \]

2. **Identify the Form**:
Now, we can see that we have a product of the form \( (A + B)(A - B) \), where:
\[ A = 100 \quad \text{and} \quad B = 4 \]

3. **Apply the Difference of Squares Formula**:
We can use the identity \( (A + B)(A - B) = A^2 - B^2 \):
\[ 104 \times 96 = (100 + 4)(100 - 4) = 100^2 - 4^2 \]

4. **Calculate \( A^2 \) and \( B^2 \)**:
Now, we calculate \( 100^2 \) and \( 4^2 \):
\[ 100^2 = 10000 \quad \text{and} \quad 4^2 = 16 \]

5. **Subtract the Squares**:
Now, we subtract \( 4^2 \) from \( 100^2 \):
\[ 10000 - 16 = 9984 \]

6. **Final Answer**:
Therefore, the value of \( 104 \times 96 \) is:
\[ \boxed{9984} \]