Mister Exam

Other calculators

Expression simplification/ Fraction Decomposition into the simple/ (x^2-2*x+1)/(x-1)

How do you (x^2-2*x+1)/(x-1) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
 2          
x  - 2*x + 1
------------
   x - 1
$$\frac{\left(x^{2} - 2 x\right) + 1}{x - 1}$$ 
(x^2 - 2*x + 1)/(x - 1)
Fraction decomposition [src] 
-1 + x
$$x - 1$$ 
-1 + x
General simplification [src] 
-1 + x
$$x - 1$$ 
-1 + x
Assemble expression [src] 
     2      
1 + x  - 2*x
------------
   -1 + x
$$\frac{x^{2} - 2 x + 1}{x - 1}$$ 
(1 + x^2 - 2*x)/(-1 + x)
Numerical answer [src] 
(1.0 + x^2 - 2.0*x)/(-1.0 + x)
(1.0 + x^2 - 2.0*x)/(-1.0 + x)
Common denominator [src] 
-1 + x
$$x - 1$$ 
-1 + x
Combining rational expressions [src] 
1 + x*(-2 + x)
--------------
    -1 + x
$$\frac{x \left(x - 2\right) + 1}{x - 1}$$ 
(1 + x*(-2 + x))/(-1 + x)
Combinatorics [src] 
-1 + x
$$x - 1$$ 
-1 + x
Trigonometric part [src] 
     2      
1 + x  - 2*x
------------
   -1 + x
$$\frac{x^{2} - 2 x + 1}{x - 1}$$ 
(1 + x^2 - 2*x)/(-1 + x)
Powers [src] 
     2      
1 + x  - 2*x
------------
   -1 + x
$$\frac{x^{2} - 2 x + 1}{x - 1}$$ 
(1 + x^2 - 2*x)/(-1 + x)
Rational denominator [src] 
     2      
1 + x  - 2*x
------------
   -1 + x
$$\frac{x^{2} - 2 x + 1}{x - 1}$$ 
(1 + x^2 - 2*x)/(-1 + x)
    © Mister Exam – Calculator