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Least common denominator -x/10-10*(x/10)^2/2

An expression to simplify:

The solution

You have entered [src]
             2
         /x \ 
      10*|--| 
-x       \10/ 
--- - --------
 10      2    
$$\frac{\left(-1\right) x}{10} - \frac{10 \left(\frac{x}{10}\right)^{2}}{2}$$
(-x)/10 - 10*(x/10)^2/2
Factorization [src]
(x + 2)*x
$$x \left(x + 2\right)$$
(x + 2)*x
Fraction decomposition [src]
-x/10 - x^2/20
$$- \frac{x^{2}}{20} - \frac{x}{10}$$
        2
  x    x 
- -- - --
  10   20
General simplification [src]
-x*(2 + x) 
-----------
     20    
$$- \frac{x \left(x + 2\right)}{20}$$
-x*(2 + x)/20
Assemble expression [src]
        2
  x    x 
- -- - --
  10   20
$$- \frac{x^{2}}{20} - \frac{x}{10}$$
-x/10 - x^2/20
Combinatorics [src]
-x*(2 + x) 
-----------
     20    
$$- \frac{x \left(x + 2\right)}{20}$$
-x*(2 + x)/20
Numerical answer [src]
-0.1*x - 0.05*x^2
-0.1*x - 0.05*x^2
Rational denominator [src]
              2
-200*x - 100*x 
---------------
      2000     
$$\frac{- 100 x^{2} - 200 x}{2000}$$
(-200*x - 100*x^2)/2000
Expand expression [src]
   2      
  x    -x 
- -- + ---
  20    10
$$\frac{\left(-1\right) x}{10} - \frac{x^{2}}{20}$$
-x^2/20 + (-x)/10
Common denominator [src]
        2
  x    x 
- -- - --
  10   20
$$- \frac{x^{2}}{20} - \frac{x}{10}$$
-x/10 - x^2/20
Trigonometric part [src]
        2
  x    x 
- -- - --
  10   20
$$- \frac{x^{2}}{20} - \frac{x}{10}$$
-x/10 - x^2/20
Powers [src]
        2
  x    x 
- -- - --
  10   20
$$- \frac{x^{2}}{20} - \frac{x}{10}$$
-x/10 - x^2/20
Combining rational expressions [src]
x*(-2 - x)
----------
    20    
$$\frac{x \left(- x - 2\right)}{20}$$
x*(-2 - x)/20