Mister Exam

Lang:

How to use it?
Least common denominator:
((x^3+6*x^2+11*x+6)/(-6))+((-x^3-9*x^2-26*x-24)/6)
x^2*y+16/(y-1)*(x-4)-16*y+x^2/x*y-x-4*y+4
(x2-x1)*x1-(c/a-x1*(x1+x2)/2)
-x^2/(x-1)^2+2*x/(x-1)
Factor polynomial:
y^2/2-y
y^2+2*y
y^2-20
y^2-16/y-4
Factor squared:
-y^2+y*a+2*a^2
y^2-y*a-a^2
-y^2+y*a+11*a^2
y^2-y-9
How do you in partial fractions?:
x^2-9/(x+3)^2
(4x-1)/(x^2-4x+8)
(x^3+2)/(x^3-4x)
(C^2-5c)/(c^2-25)
How do you in partial fractions?:
-x^2/(x-1)^2+2*x/(x-1)
Identical expressions
-x^ two /(x- one)^ two + two *x/(x- one)
minus x squared divide by (x minus 1) squared plus 2 multiply by x divide by (x minus 1)
minus x to the power of two divide by (x minus one) to the power of two plus two multiply by x divide by (x minus one)
-x2/(x-1)2+2*x/(x-1)
-x2/x-12+2*x/x-1
-x²/(x-1)²+2*x/(x-1)
-x to the power of 2/(x-1) to the power of 2+2*x/(x-1)
-x^2/(x-1)^2+2x/(x-1)
-x2/(x-1)2+2x/(x-1)
-x2/x-12+2x/x-1
-x^2/x-1^2+2x/x-1
-x^2 divide by (x-1)^2+2*x divide by (x-1)
Similar expressions
x^2/(x-1)^2+2*x/(x-1)
-x^2/(x+1)^2+2*x/(x-1)
-x^2/(x-1)^2-2*x/(x-1)
-x^2/(x-1)^2+2*x/(x+1)

Least common denominator -x^2/(x-1)^2+2*x/(x-1)

You have entered [src]

    2           
  -x        2*x 
-------- + -----
       2   x - 1
(x - 1)

$$\frac{2 x}{x - 1} + \frac{\left(-1\right) x^{2}}{\left(x - 1\right)^{2}}$$

(-x^2)/(x - 1)^2 + (2*x)/(x - 1)

General simplification [src]

 x*(-2 + x) 
------------
     2      
1 + x  - 2*x

$$\frac{x \left(x - 2\right)}{x^{2} - 2 x + 1}$$

x*(-2 + x)/(1 + x^2 - 2*x)

Fraction decomposition [src]

1 - 1/(-1 + x)^2

$$1 - \frac{1}{\left(x - 1\right)^{2}}$$

        1    
1 - ---------
            2
    (-1 + x)

Powers [src]

       2            
      x        2*x  
- --------- + ------
          2   -1 + x
  (-1 + x)

$$- \frac{x^{2}}{\left(x - 1\right)^{2}} + \frac{2 x}{x - 1}$$

-x^2/(-1 + x)^2 + 2*x/(-1 + x)

Numerical answer [src]

-x^2/(-1.0 + x)^2 + 2.0*x/(-1.0 + x)

-x^2/(-1.0 + x)^2 + 2.0*x/(-1.0 + x)

Rational denominator [src]

   2                        2
- x *(-1 + x) + 2*x*(-1 + x) 
-----------------------------
                  3          
          (-1 + x)

$$\frac{- x^{2} \left(x - 1\right) + 2 x \left(x - 1\right)^{2}}{\left(x - 1\right)^{3}}$$

(-x^2*(-1 + x) + 2*x*(-1 + x)^2)/(-1 + x)^3

Combining rational expressions [src]

x*(-2 + x)
----------
        2 
(-1 + x)

$$\frac{x \left(x - 2\right)}{\left(x - 1\right)^{2}}$$

x*(-2 + x)/(-1 + x)^2

Combinatorics [src]

x*(-2 + x)
----------
        2 
(-1 + x)

$$\frac{x \left(x - 2\right)}{\left(x - 1\right)^{2}}$$

x*(-2 + x)/(-1 + x)^2

Trigonometric part [src]

       2            
      x        2*x  
- --------- + ------
          2   -1 + x
  (-1 + x)

$$- \frac{x^{2}}{\left(x - 1\right)^{2}} + \frac{2 x}{x - 1}$$

-x^2/(-1 + x)^2 + 2*x/(-1 + x)

Common denominator [src]

         1      
1 - ------------
         2      
    1 + x  - 2*x

$$1 - \frac{1}{x^{2} - 2 x + 1}$$

1 - 1/(1 + x^2 - 2*x)

Assemble expression [src]

       2            
      x        2*x  
- --------- + ------
          2   -1 + x
  (-1 + x)

$$- \frac{x^{2}}{\left(x - 1\right)^{2}} + \frac{2 x}{x - 1}$$

-x^2/(-1 + x)^2 + 2*x/(-1 + x)