Find the value of `(351)^(2)-(350)^(2)`

Answer

To solve the expression \( (351)^2 - (350)^2 \), we can use the algebraic identity for the difference of squares, which states:

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

### Step-by-Step Solution:

1. **Identify \( a \) and \( b \)**:
- Here, let \( a = 351 \) and \( b = 350 \).

2. **Apply the identity**:
- According to the identity, we can rewrite the expression:
\[ (351)^2 - (350)^2 = (351 + 350)(351 - 350) \]

3. **Calculate \( a + b \)**:
- Now, calculate \( 351 + 350 \):
\[ 351 + 350 = 701 \]

4. **Calculate \( a - b \)**:
- Next, calculate \( 351 - 350 \):
\[ 351 - 350 = 1 \]

5. **Multiply the results**:
- Now, substitute these values back into the expression:
\[ (351)^2 - (350)^2 = 701 \times 1 \]

6. **Final calculation**:
- Therefore, the final result is:
\[ 701 \times 1 = 701 \]

### Final Answer:
The value of \( (351)^2 - (350)^2 \) is \( 701 \).