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Expression simplification/ Fraction Decomposition into the simple/ (x^2-3*x+2)/(x-2)

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

An expression to simplify:

The solution

You have entered [src] 
 2          
x  - 3*x + 2
------------
   x - 2
$$\frac{\left(x^{2} - 3 x\right) + 2}{x - 2}$$ 
(x^2 - 3*x + 2)/(x - 2)
Fraction decomposition [src] 
-1 + x
$$x - 1$$ 
-1 + x
General simplification [src] 
-1 + x
$$x - 1$$ 
-1 + x
Assemble expression [src] 
     2      
2 + x  - 3*x
------------
   -2 + x
$$\frac{x^{2} - 3 x + 2}{x - 2}$$ 
(2 + x^2 - 3*x)/(-2 + x)
Common denominator [src] 
-1 + x
$$x - 1$$ 
-1 + x
Powers [src] 
     2      
2 + x  - 3*x
------------
   -2 + x
$$\frac{x^{2} - 3 x + 2}{x - 2}$$ 
(2 + x^2 - 3*x)/(-2 + x)
Combinatorics [src] 
-1 + x
$$x - 1$$ 
-1 + x
Trigonometric part [src] 
     2      
2 + x  - 3*x
------------
   -2 + x
$$\frac{x^{2} - 3 x + 2}{x - 2}$$ 
(2 + x^2 - 3*x)/(-2 + x)
Combining rational expressions [src] 
2 + x*(-3 + x)
--------------
    -2 + x
$$\frac{x \left(x - 3\right) + 2}{x - 2}$$ 
(2 + x*(-3 + x))/(-2 + x)
Numerical answer [src] 
(2.0 + x^2 - 3.0*x)/(-2.0 + x)
(2.0 + x^2 - 3.0*x)/(-2.0 + x)
Rational denominator [src] 
     2      
2 + x  - 3*x
------------
   -2 + x
$$\frac{x^{2} - 3 x + 2}{x - 2}$$ 
(2 + x^2 - 3*x)/(-2 + x)
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