Least common denominator (z+t)/(t-z)-(t-z)/(t+z)

You have entered [src]

z + t   t - z
----- - -----
t - z   t + z

$$- \frac{t - z}{t + z} + \frac{t + z}{t - z}$$

(z + t)/(t - z) - (t - z)/(t + z)

General simplification [src]

 4*t*z 
-------
 2    2
t  - z

$$\frac{4 t z}{t^{2} - z^{2}}$$

4*t*z/(t^2 - z^2)

Rational denominator [src]

       2                  
(t + z)  + (t - z)*(z - t)
--------------------------
     (t + z)*(t - z)

$$\frac{\left(- t + z\right) \left(t - z\right) + \left(t + z\right)^{2}}{\left(t - z\right) \left(t + z\right)}$$

((t + z)^2 + (t - z)*(z - t))/((t + z)*(t - z))

Numerical answer [src]

(t + z)/(t - z) - (t - z)/(t + z)

(t + z)/(t - z) - (t - z)/(t + z)

Common denominator [src]

 -4*t*z
-------
 2    2
z  - t

$$- \frac{4 t z}{- t^{2} + z^{2}}$$

-4*t*z/(z^2 - t^2)

Combining rational expressions [src]

       2          2
(t + z)  - (t - z) 
-------------------
  (t + z)*(t - z)

$$\frac{- \left(t - z\right)^{2} + \left(t + z\right)^{2}}{\left(t - z\right) \left(t + z\right)}$$

((t + z)^2 - (t - z)^2)/((t + z)*(t - z))

Combinatorics [src]

     -4*t*z    
---------------
(t + z)*(z - t)

$$- \frac{4 t z}{\left(- t + z\right) \left(t + z\right)}$$

-4*t*z/((t + z)*(z - t))

Powers [src]

z - t   t + z
----- + -----
t + z   t - z

$$\frac{- t + z}{t + z} + \frac{t + z}{t - z}$$

(z - t)/(t + z) + (t + z)/(t - z)