How do you (z/(z+6)(z+6))-(z/(z-6)(z+6)) in partial fractions?

You have entered [src]

  z               z          
-----*(z + 6) - -----*(z + 6)
z + 6           z - 6

$$- \frac{z}{z - 6} \left(z + 6\right) + \frac{z}{z + 6} \left(z + 6\right)$$

(z/(z + 6))*(z + 6) - z/(z - 6)*(z + 6)

General simplification [src]

-12*z 
------
-6 + z

$$- \frac{12 z}{z - 6}$$

-12*z/(-6 + z)

Fraction decomposition [src]

-12 - 72/(-6 + z)

$$-12 - \frac{72}{z - 6}$$

        72  
-12 - ------
      -6 + z

Rational denominator [src]

           2                     
- z*(6 + z)  + z*(-6 + z)*(6 + z)
---------------------------------
         (-6 + z)*(6 + z)

$$\frac{z \left(z - 6\right) \left(z + 6\right) - z \left(z + 6\right)^{2}}{\left(z - 6\right) \left(z + 6\right)}$$

(-z*(6 + z)^2 + z*(-6 + z)*(6 + z))/((-6 + z)*(6 + z))

Assemble expression [src]

    z*(6 + z)
z - ---------
      -6 + z

$$z - \frac{z \left(z + 6\right)}{z - 6}$$

z - z*(6 + z)/(-6 + z)

Numerical answer [src]

z - z*(6.0 + z)/(-6.0 + z)

z - z*(6.0 + z)/(-6.0 + z)

Combinatorics [src]

-12*z 
------
-6 + z

$$- \frac{12 z}{z - 6}$$

-12*z/(-6 + z)

Combining rational expressions [src]

-12*z 
------
-6 + z

$$- \frac{12 z}{z - 6}$$

-12*z/(-6 + z)

Trigonometric part [src]

    z*(6 + z)
z - ---------
      -6 + z

$$z - \frac{z \left(z + 6\right)}{z - 6}$$

z - z*(6 + z)/(-6 + z)

Powers [src]

    z*(6 + z)
z - ---------
      -6 + z

$$z - \frac{z \left(z + 6\right)}{z - 6}$$

z - z*(6 + z)/(-6 + z)

Common denominator [src]

        72  
-12 - ------
      -6 + z

$$-12 - \frac{72}{z - 6}$$

-12 - 72/(-6 + z)

How do you (z/(z+6)*(z+6))-(z/(z-6)*(z+6)) in partial fractions?