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Factor polynomial y^2-16/y+4

You have entered [src]

 2   16    
y  - -- + 4
     y

$$\left(y^{2} - \frac{16}{y}\right) + 4$$

y^2 - 16/y + 4

Fraction decomposition [src]

4 + y^2 - 16/y

$$y^{2} + 4 - \frac{16}{y}$$

     2   16
4 + y  - --
         y

General simplification [src]

     2   16
4 + y  - --
         y

$$y^{2} + 4 - \frac{16}{y}$$

4 + y^2 - 16/y

Numerical answer [src]

4.0 + y^2 - 16.0/y

4.0 + y^2 - 16.0/y

Common denominator [src]

     2   16
4 + y  - --
         y

$$y^{2} + 4 - \frac{16}{y}$$

4 + y^2 - 16/y

Powers [src]

     2   16
4 + y  - --
         y

$$y^{2} + 4 - \frac{16}{y}$$

4 + y^2 - 16/y

Assemble expression [src]

     2   16
4 + y  - --
         y

$$y^{2} + 4 - \frac{16}{y}$$

4 + y^2 - 16/y

Trigonometric part [src]

     2   16
4 + y  - --
         y

$$y^{2} + 4 - \frac{16}{y}$$

4 + y^2 - 16/y

Rational denominator [src]

       3      
-16 + y  + 4*y
--------------
      y

$$\frac{y^{3} + 4 y - 16}{y}$$

(-16 + y^3 + 4*y)/y

Combining rational expressions [src]

       3      
-16 + y  + 4*y
--------------
      y

$$\frac{y^{3} + 4 y - 16}{y}$$

(-16 + y^3 + 4*y)/y

Combinatorics [src]

         /     2      \
(-2 + y)*\8 + y  + 2*y/
-----------------------
           y

$$\frac{\left(y - 2\right) \left(y^{2} + 2 y + 8\right)}{y}$$

(-2 + y)*(8 + y^2 + 2*y)/y