(x^2+2)/(x^2-1)
You asked:
Evaluate the expression: \(\frac{{x}^{2} + 2}{{x}^{2} - 1}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{x}^{2} + 2}{{x}^{2} - 1} = \frac{x^{2} + 2}{x^{2} - 1} \)
Expanded
\[\frac{{x}^{2} + 2}{{x}^{2} - 1} = \frac{x^{2}}{x^{2} - 1} + \frac{2}{x^{2} - 1}\]
Factored
\[\frac{{x}^{2} + 2}{{x}^{2} - 1} = \frac{x^{2} + 2}{\left(x - 1\right) \left(x + 1\right)}\]