A. \(\frac{4ab}{a - b}\) B. \(\frac{-4ab}{a^2 - b^2}\) C. \(\frac{-4ab}{a^{-2} - b}\) D. \(\frac{4ab}{a^{-2} - b^{-2}}\)
Correct Answer: B
Explanation
\(\frac{a - b}{a + b}\) - \(\frac{a + b}{a - b}\) = \(\frac{(a - b)^2}{(a + b)}\) - \(\frac{(a + b)^2}{(a - b0}\) applying the principle of difference of two sqrt. Numerator = (a - b) + (a + b) (a - b) - (a + b) = (a = b + a = b)(a = b - a = b) 2a(-2b) = -4ab = \(\frac{-4ab}{(a + b)(a - b)}\) = \(\frac{-4ab}{a^2 - b^2}\)
