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Least common denominator y/(y+2)/-y*(y+2)/(2-y)^2

An expression to simplify:

The solution

You have entered [src]
/  y  \        
|-----|        
\y + 2/        
-------*(y + 2)
   -y          
---------------
           2   
    (2 - y)    
$$\frac{\frac{y \frac{1}{y + 2}}{\left(-1\right) y} \left(y + 2\right)}{\left(2 - y\right)^{2}}$$
(((y/(y + 2))/((-y)))*(y + 2))/(2 - y)^2
Fraction decomposition [src]
-1/(-2 + y)^2
$$- \frac{1}{\left(y - 2\right)^{2}}$$
   -1    
---------
        2
(-2 + y) 
General simplification [src]
   -1    
---------
        2
(-2 + y) 
$$- \frac{1}{\left(y - 2\right)^{2}}$$
-1/(-2 + y)^2
Trigonometric part [src]
  -1    
--------
       2
(2 - y) 
$$- \frac{1}{\left(2 - y\right)^{2}}$$
-1/(2 - y)^2
Expand expression [src]
  -1    
--------
       2
(2 - y) 
$$- \frac{1}{\left(2 - y\right)^{2}}$$
-1/(2 - y)^2
Combining rational expressions [src]
  -1    
--------
       2
(2 - y) 
$$- \frac{1}{\left(2 - y\right)^{2}}$$
-1/(2 - y)^2
Powers [src]
  -1    
--------
       2
(2 - y) 
$$- \frac{1}{\left(2 - y\right)^{2}}$$
-1/(2 - y)^2
Combinatorics [src]
   -1    
---------
        2
(-2 + y) 
$$- \frac{1}{\left(y - 2\right)^{2}}$$
-1/(-2 + y)^2
Common denominator [src]
    -1      
------------
     2      
4 + y  - 4*y
$$- \frac{1}{y^{2} - 4 y + 4}$$
-1/(4 + y^2 - 4*y)
Numerical answer [src]
-0.25/(1 - 0.5*y)^2
-0.25/(1 - 0.5*y)^2
Assemble expression [src]
  -1    
--------
       2
(2 - y) 
$$- \frac{1}{\left(2 - y\right)^{2}}$$
-1/(2 - y)^2
Rational denominator [src]
  -1    
--------
       2
(2 - y) 
$$- \frac{1}{\left(2 - y\right)^{2}}$$
-1/(2 - y)^2