How do you ((3*c+1)/(c-1)+c)/(c+1) in partial fractions?

You have entered [src]

3*c + 1    
------- + c
 c - 1     
-----------
   c + 1

$$\frac{c + \frac{3 c + 1}{c - 1}}{c + 1}$$

((3*c + 1)/(c - 1) + c)/(c + 1)

General simplification [src]

1 + c 
------
-1 + c

$$\frac{c + 1}{c - 1}$$

(1 + c)/(-1 + c)

Fraction decomposition [src]

1 + 2/(-1 + c)

$$1 + \frac{2}{c - 1}$$

      2   
1 + ------
    -1 + c

Rational denominator [src]

1 + 3*c + c*(-1 + c)
--------------------
  (1 + c)*(-1 + c)

$$\frac{c \left(c - 1\right) + 3 c + 1}{\left(c - 1\right) \left(c + 1\right)}$$

(1 + 3*c + c*(-1 + c))/((1 + c)*(-1 + c))

Common denominator [src]

      2   
1 + ------
    -1 + c

$$1 + \frac{2}{c - 1}$$

1 + 2/(-1 + c)

Combining rational expressions [src]

1 + 3*c + c*(-1 + c)
--------------------
  (1 + c)*(-1 + c)

$$\frac{c \left(c - 1\right) + 3 c + 1}{\left(c - 1\right) \left(c + 1\right)}$$

(1 + 3*c + c*(-1 + c))/((1 + c)*(-1 + c))

Combinatorics [src]

1 + c 
------
-1 + c

$$\frac{c + 1}{c - 1}$$

(1 + c)/(-1 + c)

Numerical answer [src]

(c + (1.0 + 3.0*c)/(-1.0 + c))/(1.0 + c)

(c + (1.0 + 3.0*c)/(-1.0 + c))/(1.0 + c)