(X)/(X-1) - (X)/(X+1)

asked by guest
on Sep 20, 2024 at 1:29 am



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

\[\frac{X}{X - 1} - \frac{X}{X + 1} = \frac{2 X}{\left(X - 1\right) \left(X + 1\right)}\]