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