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Expression simplification/ Fraction Decomposition into the simple/ (x^2-5*x+6)/(x^2-4)

How do you (x^2-5*x+6)/(x^2-4) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
 2          
x  - 5*x + 6
------------
    2       
   x  - 4
$$\frac{\left(x^{2} - 5 x\right) + 6}{x^{2} - 4}$$ 
(x^2 - 5*x + 6)/(x^2 - 4)
Fraction decomposition [src] 
1 - 5/(2 + x)
$$1 - \frac{5}{x + 2}$$ 
      5  
1 - -----
    2 + x
General simplification [src] 
-3 + x
------
2 + x
$$\frac{x - 3}{x + 2}$$ 
(-3 + x)/(2 + x)
Combinatorics [src] 
-3 + x
------
2 + x
$$\frac{x - 3}{x + 2}$$ 
(-3 + x)/(2 + x)
Combining rational expressions [src] 
6 + x*(-5 + x)
--------------
         2    
   -4 + x
$$\frac{x \left(x - 5\right) + 6}{x^{2} - 4}$$ 
(6 + x*(-5 + x))/(-4 + x^2)
Numerical answer [src] 
(6.0 + x^2 - 5.0*x)/(-4.0 + x^2)
(6.0 + x^2 - 5.0*x)/(-4.0 + x^2)
Rational denominator [src] 
     2      
6 + x  - 5*x
------------
        2   
  -4 + x
$$\frac{x^{2} - 5 x + 6}{x^{2} - 4}$$ 
(6 + x^2 - 5*x)/(-4 + x^2)
Common denominator [src] 
      5  
1 - -----
    2 + x
$$1 - \frac{5}{x + 2}$$ 
1 - 5/(2 + x)
Powers [src] 
     2      
6 + x  - 5*x
------------
        2   
  -4 + x
$$\frac{x^{2} - 5 x + 6}{x^{2} - 4}$$ 
(6 + x^2 - 5*x)/(-4 + x^2)
Trigonometric part [src] 
     2      
6 + x  - 5*x
------------
        2   
  -4 + x
$$\frac{x^{2} - 5 x + 6}{x^{2} - 4}$$ 
(6 + x^2 - 5*x)/(-4 + x^2)
Assemble expression [src] 
     2      
6 + x  - 5*x
------------
        2   
  -4 + x
$$\frac{x^{2} - 5 x + 6}{x^{2} - 4}$$ 
(6 + x^2 - 5*x)/(-4 + x^2)
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