The value of `(1502)^2-(1498)^2` is-

Options

A. 12000
B. 16000
C. 2526004
D. 22560

Answer

To solve the expression \( (1502)^2 - (1498)^2 \), we can use the algebraic identity for the difference of squares, which states:

\[ A^2 - B^2 = (A + B)(A - B) \]

Here, we can identify:
- \( A = 1502 \)
- \( B = 1498 \)

Now, we can apply the identity:

1. **Calculate \( A + B \)**:
\[ A + B = 1502 + 1498 = 3000 \]

2. **Calculate \( A - B \)**:
\[ A - B = 1502 - 1498 = 4 \]

3. **Now substitute back into the identity**:
\[ (1502)^2 - (1498)^2 = (A + B)(A - B) = 3000 \times 4 \]

4. **Calculate the final result**:
\[ 3000 \times 4 = 12000 \]

Thus, the value of \( (1502)^2 - (1498)^2 \) is \( 12000 \).