On simplification of `((2.644)^(2) - (2.356)^(2))/(0.288)` we get :

Options

A. 1
B. 4
C. 5
D. 6

Answer

To simplify the expression \(\frac{(2.644)^{2} - (2.356)^{2}}{0.288}\), 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 \(a = 2.644\) and \(b = 2.356\).

2. **Apply the difference of squares formula**:
\[ (2.644)^{2} - (2.356)^{2} = (2.644 + 2.356)(2.644 - 2.356) \]

3. **Calculate \(a + b\) and \(a - b\)**:
- \(a + b = 2.644 + 2.356 = 5.000\)
- \(a - b = 2.644 - 2.356 = 0.288\)

4. **Substitute back into the expression**:
\[ (2.644)^{2} - (2.356)^{2} = (5.000)(0.288) \]

5. **Now substitute this back into the original expression**:
\[ \frac{(2.644)^{2} - (2.356)^{2}}{0.288} = \frac{(5.000)(0.288)}{0.288} \]

6. **Cancel out \(0.288\)**:
\[ = 5.000 \]

Thus, the simplified result is \(5\).