Question

Given expression:
\(\frac{(0.682)^2-(0.318)^2}{0.682-0.318}\)

• A. 2
• B. 4
• C. 1
• D. 5

Answer 1

The Correct Option is C

The given expression is: \(\frac{(0.682)^2-(0.318)^2}{0.682-0.318}\).

This expression can be solved using the difference of squares formula, which is:

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

Applying the formula, we set \(a = 0.682\) and \(b = 0.318\). Therefore,

\((0.682)^2 - (0.318)^2 = (0.682 + 0.318)(0.682 - 0.318)\)

Substitute this back into the original expression:

\(\frac{(0.682 + 0.318)(0.682 - 0.318)}{0.682 - 0.318}\)

The terms \((0.682 - 0.318)\) in the numerator and denominator cancel out:

\(0.682 + 0.318\)

Calculate the sum:

\(0.682 + 0.318 = 1.000\)

So, the value of the expression is 1.

Therefore, the correct answer is 1.