If \A=\frac{x-1}{x+1}, then the value of \A-\frac{1}{\A} is

Correct Answer is : −4xx2−1

SSC CHSL 19 Mar 2020 Shift 3 Paper

Question : 64 of 100

Marks: +1, -0

\A={x-1}/{x+1}

, then the value of

\A-{1}/{\A}

Solution:

Given,

\A={x-1}/{x+1}

\A-{1}/{\A}={(x-1)}/{(x+1)}-{(x+1)}/{(x-1)}

={(x-1)^{2}-(x+1)^{2}}/{(x+1)(x-1)}

={x^{2}-2 x+1-x^{2}-2 x-1}/{x^{2}-1}

={-4 x}/{x^{2}-1}

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