The value of `(0.796 xx 0.796-0.204 xx 0.204)/(0.796 - 0.204)`

Options

A. 0.408
B. 0.59
C. 0.592
D. 1

Answer

To solve the expression \((0.796 \times 0.796 - 0.204 \times 0.204) / (0.796 - 0.204)\), we can follow these steps:

### Step 1: Recognize the Difference of Squares
The expression in the numerator, \(0.796 \times 0.796 - 0.204 \times 0.204\), can be rewritten using the difference of squares formula:
\[ a^2 - b^2 = (a - b)(a + b) \]
where \(a = 0.796\) and \(b = 0.204\).