Least common denominator z/x-z+x+z/z

You have entered [src]

z           z
- - z + x + -
x           z

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

z/x - z + x + z/z

General simplification [src]

            z
1 + x - z + -
            x

$$x - z + 1 + \frac{z}{x}$$

1 + x - z + z/x

Combinatorics [src]

         2      
x + z + x  - x*z
----------------
       x

$$\frac{x^{2} - x z + x + z}{x}$$

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

Assemble expression [src]

            z
1 + x - z + -
            x

$$x - z + 1 + \frac{z}{x}$$

          /     1\
1 + x + z*|-1 + -|
          \     x/

$$x + z \left(-1 + \frac{1}{x}\right) + 1$$

1 + x + z*(-1 + 1/x)

Combining rational expressions [src]

     2            
x + x  + z*(1 - x)
------------------
        x

$$\frac{x^{2} + x + z \left(1 - x\right)}{x}$$

(x + x^2 + z*(1 - x))/x

Common denominator [src]

            z
1 + x - z + -
            x

$$x - z + 1 + \frac{z}{x}$$

1 + x - z + z/x

Trigonometric part [src]

            z
1 + x - z + -
            x

$$x - z + 1 + \frac{z}{x}$$

1 + x - z + z/x

Numerical answer [src]

1 + x - z + z/x

1 + x - z + z/x

Rational denominator [src]

        /     2      \
x*z + z*\z + x  - x*z/
----------------------
         x*z

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

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

Powers [src]

            z
1 + x - z + -
            x

$$x - z + 1 + \frac{z}{x}$$

1 + x - z + z/x