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If $$A = \frac{{x - 1}}{{x + 1}},$$ then the value of $$A - \frac{1}{A}$$ is:
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& A = \frac{{x - 1}}{{x + 1}} \cr
& \frac{1}{A} = \frac{{x + 1}}{{x - 1}} \cr
& A - \frac{1}{A} = \frac{{{{\left( {x - 1} \right)}^2} - {{\left( {x + 1} \right)}^2}}}{{{x^2} - 1}} \cr
& A - \frac{1}{A} = \frac{{ - 4x}}{{{x^2} - 1}} \cr} $$
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