A) \[\frac{2\,\,({{x}^{2}}-1)}{({{x}^{2}}+1)}\]
B) \[\frac{2\,\,({{x}^{2}}+1)}{{{(x-1)}^{2}}}\]
C) \[\frac{2\,\,({{x}^{2}}+1)}{{{x}^{2}}-1}\]
D) None of these
Correct Answer: C
Solution :
\[A+B=\frac{x+1}{x-1}+\frac{x-1}{x+1}=\frac{{{(x+1)}^{2}}+{{(x-1)}^{2}}}{(x-1)(x+1)}\] \[=\frac{{{x}^{2}}+2x+1+{{x}^{2}}-2x+1}{{{x}^{2}}-1}=\frac{2\,\,({{x}^{2}}+1)}{{{x}^{2}}-1}\]You need to login to perform this action.
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