Mister Exam

Factor polynomial x-x^2/2

An expression to simplify:

The solution

You have entered [src]
     2
    x 
x - --
    2 
$$- \frac{x^{2}}{2} + x$$
x - x^2/2
Fraction decomposition [src]
x - x^2/2
$$- \frac{x^{2}}{2} + x$$
     2
    x 
x - --
    2 
Factorization [src]
x*(x - 2)
$$x \left(x - 2\right)$$
x*(x - 2)
General simplification [src]
x*(2 - x)
---------
    2    
$$\frac{x \left(2 - x\right)}{2}$$
x*(2 - x)/2
Numerical answer [src]
x - 0.5*x^2
x - 0.5*x^2
Combinatorics [src]
-x*(-2 + x) 
------------
     2      
$$- \frac{x \left(x - 2\right)}{2}$$
-x*(-2 + x)/2
Rational denominator [src]
   2      
- x  + 2*x
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    2     
$$\frac{- x^{2} + 2 x}{2}$$
(-x^2 + 2*x)/2
Combining rational expressions [src]
x*(2 - x)
---------
    2    
$$\frac{x \left(2 - x\right)}{2}$$
x*(2 - x)/2