The value of `(4.359xx4.359-1.641xx1.641)/(4.359-1.641)` is

Options

A. `6.3`
B. 6
C. `3.2`
D. `4.6`

Answer

To solve the expression \((4.359 \times 4.359 - 1.641 \times 1.641) / (4.359 - 1.641)\), we can use the algebraic identity for the difference of squares, which states that:

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

### Step-by-Step Solution:

1. **Identify A and B**:
Let \( A = 4.359 \) and \( B = 1.641 \).

2. **Apply the Difference of Squares Identity**:
We can rewrite the expression as:
\[ \frac{A^2 - B^2}{A - B} = A + B \]

3. **Calculate A + B**:
Now we need to find \( A + B \):
\[ A + B = 4.359 + 1.641 \]

4. **Perform the Addition**:
Adding the two numbers:
\[ 4.359 + 1.641 = 6.000 \]

5. **Final Result**:
Therefore, the value of the expression is:
\[ \frac{4.359 \times 4.359 - 1.641 \times 1.641}{4.359 - 1.641} = 6.000 \]