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The value of (0.796 xx 0.796-0.204 xx 0....

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

A

0.408

B

0.59

C

0.592

D

1

Text Solution

AI Generated Solution

The correct Answer is:
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 \(b = 0.204\).
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Knowledge Check

  • The value of ((0.76xx0.76xx0.76)+(0.24xx0.24xx0.24))/((0.76xx0.76)-(0.76xx0.24)+(0.24xx0.24)) is

    A
    0.52
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    B
    `1.00`
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    D
    None of these

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