How do you 2/x+(3*x-2)/(x+1) in partial fractions?

You have entered [src]

2   3*x - 2
- + -------
x    x + 1

$$\frac{3 x - 2}{x + 1} + \frac{2}{x}$$

2/x + (3*x - 2)/(x + 1)

Fraction decomposition [src]

3 - 5/(1 + x) + 2/x

$$3 - \frac{5}{x + 1} + \frac{2}{x}$$

      5     2
3 - ----- + -
    1 + x   x

General simplification [src]

        2
 2 + 3*x 
---------
x*(1 + x)

$$\frac{3 x^{2} + 2}{x \left(x + 1\right)}$$

(2 + 3*x^2)/(x*(1 + x))

Combining rational expressions [src]

2 + 2*x + x*(-2 + 3*x)
----------------------
      x*(1 + x)

$$\frac{x \left(3 x - 2\right) + 2 x + 2}{x \left(x + 1\right)}$$

(2 + 2*x + x*(-2 + 3*x))/(x*(1 + x))

Combinatorics [src]

        2
 2 + 3*x 
---------
x*(1 + x)

$$\frac{3 x^{2} + 2}{x \left(x + 1\right)}$$

(2 + 3*x^2)/(x*(1 + x))

Numerical answer [src]

2.0/x + (-2.0 + 3.0*x)/(1.0 + x)

2.0/x + (-2.0 + 3.0*x)/(1.0 + x)

Common denominator [src]

    -2 + 3*x
3 - --------
          2 
     x + x

$$- \frac{3 x - 2}{x^{2} + x} + 3$$

3 - (-2 + 3*x)/(x + x^2)

Rational denominator [src]

2 + 2*x + x*(-2 + 3*x)
----------------------
      x*(1 + x)

$$\frac{x \left(3 x - 2\right) + 2 x + 2}{x \left(x + 1\right)}$$

(2 + 2*x + x*(-2 + 3*x))/(x*(1 + x))