Mister Exam

Other calculators

Expression simplification/ Fraction Decomposition into the simple/ (x^2-5*x+6)/(x-3)

How do you (x^2-5*x+6)/(x-3) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
 2          
x  - 5*x + 6
------------
   x - 3
$$\frac{\left(x^{2} - 5 x\right) + 6}{x - 3}$$ 
(x^2 - 5*x + 6)/(x - 3)
General simplification [src] 
-2 + x
$$x - 2$$ 
-2 + x
Fraction decomposition [src] 
-2 + x
$$x - 2$$ 
-2 + x
Assemble expression [src] 
     2      
6 + x  - 5*x
------------
   -3 + x
$$\frac{x^{2} - 5 x + 6}{x - 3}$$ 
(6 + x^2 - 5*x)/(-3 + x)
Rational denominator [src] 
     2      
6 + x  - 5*x
------------
   -3 + x
$$\frac{x^{2} - 5 x + 6}{x - 3}$$ 
(6 + x^2 - 5*x)/(-3 + x)
Combinatorics [src] 
-2 + x
$$x - 2$$ 
-2 + x
Trigonometric part [src] 
     2      
6 + x  - 5*x
------------
   -3 + x
$$\frac{x^{2} - 5 x + 6}{x - 3}$$ 
(6 + x^2 - 5*x)/(-3 + x)
Common denominator [src] 
-2 + x
$$x - 2$$ 
-2 + x
Powers [src] 
     2      
6 + x  - 5*x
------------
   -3 + x
$$\frac{x^{2} - 5 x + 6}{x - 3}$$ 
(6 + x^2 - 5*x)/(-3 + x)
Combining rational expressions [src] 
6 + x*(-5 + x)
--------------
    -3 + x
$$\frac{x \left(x - 5\right) + 6}{x - 3}$$ 
(6 + x*(-5 + x))/(-3 + x)
Numerical answer [src] 
(6.0 + x^2 - 5.0*x)/(-3.0 + x)
(6.0 + x^2 - 5.0*x)/(-3.0 + x)
    © Mister Exam – Calculator