The value of `(249)^2 -(248)^2` is

Options

A. `1^2`
B. `477`
C. `487`
D. `497`

Explanation

To solve the expression \( (249)^2 - (248)^2 \), 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 \( b \)**:
- Let \( a = 249 \) and \( b = 248 \).

2. **Apply the difference of squares formula**:
- Substitute \( a \) and \( b \) into the formula:
\[ (249)^2 - (248)^2 = (249 + 248)(249 - 248) \]

3. **Calculate \( a + b \)**:
- \( 249 + 248 = 497 \)

4. **Calculate \( a - b \)**:
- \( 249 - 248 = 1 \)

5. **Multiply the results**:
- Now substitute back into the equation:
\[ (249)^2 - (248)^2 = 497 \times 1 = 497 \]

### Final Answer:
The value of \( (249)^2 - (248)^2 \) is \( 497 \).

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