($x^{2}$+1)/($x^{2}$-4)

asked by guest
on Nov 24, 2024 at 7:06 am



You asked:

Evaluate the expression: \(\frac{{x}^{2} + 1}{{x}^{2} - 4}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{{x}^{2} + 1}{{x}^{2} - 4} = \frac{x^{2} + 1}{x^{2} - 4} \)


Expanded

\[\frac{{x}^{2} + 1}{{x}^{2} - 4} = \frac{x^{2}}{x^{2} - 4} + \frac{1}{x^{2} - 4}\]


Factored

\[\frac{{x}^{2} + 1}{{x}^{2} - 4} = \frac{x^{2} + 1}{\left(x - 2\right) \left(x + 2\right)}\]