Mister Exam

Lang:

How to use it?
Least common denominator:
(z^2-2*t+2*t1+exp(t1/t)*(2*t-z^2))*(z^2-2*t+2*t2+exp(t2/t)*(2*t-z^2))
(((y-y)/(3*y-3))+(1/(y-1)))/((y+1)/3)+(2/(y^2-1))
y/(y+2)+-y*(y+2)/(2-y)^2
y/x-(x*y-x^2)/(y-1)*(y-1)/x^2
Factor polynomial:
z^3-z^2-5*z+125
z^3+z^2/2+z/2+10
z^3+p^3
z^3+8*i
Factor squared:
-y^4+y^2+2
y^4-y^2-13
-y^4+8*y^2+2
y^4-8*y^2-2
How do you in partial fractions?:
21/(3*a-a^2)-7/(a)
(x^2-6)/(x-3)-x/(x-3)
(s+3)/(5*s+15)
(5*x^2-3*x-2)/(5*x^2+2*x)
How do you in partial fractions?:
y/(y+2)+-y*(y+2)/(2-y)^2
Identical expressions
y/(y+ two)+-y*(y+ two)/(two -y)^ two
y divide by (y plus 2) plus minus y multiply by (y plus 2) divide by (2 minus y) squared
y divide by (y plus two) plus minus y multiply by (y plus two) divide by (two minus y) to the power of two
y/(y+2)+-y*(y+2)/(2-y)2
y/y+2+-y*y+2/2-y2
y/(y+2)+-y*(y+2)/(2-y)²
y/(y+2)+-y*(y+2)/(2-y) to the power of 2
y/(y+2)+-y(y+2)/(2-y)^2
y/(y+2)+-y(y+2)/(2-y)2
y/y+2+-yy+2/2-y2
y/y+2+-yy+2/2-y^2
y divide by (y+2)+-y*(y+2) divide by (2-y)^2
Similar expressions
y/(y+2)+-y*(y+2)/(2+y)^2
y/(y+2)++y*(y+2)/(2-y)^2
y/(y+2)+-y*(y-2)/(2-y)^2
y/(y-2)+-y*(y+2)/(2-y)^2
y/(y+2)--y*(y+2)/(2-y)^2

Least common denominator y/(y+2)+-y*(y+2)/(2-y)^2

You have entered [src]

  y     -y*(y + 2)
----- + ----------
y + 2           2 
         (2 - y)

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

y/(y + 2) + ((-y)*(y + 2))/(2 - y)^2

Fraction decomposition [src]

-8/(-2 + y)^2 - 6/(-2 + y) - 2/(2 + y)

$$- \frac{2}{y + 2} - \frac{6}{y - 2} - \frac{8}{\left(y - 2\right)^{2}}$$

      8         6        2  
- --------- - ------ - -----
          2   -2 + y   2 + y
  (-2 + y)

General simplification [src]

  /        2          2\
y*\(-2 + y)  - (2 + y) /
------------------------
           2            
   (-2 + y) *(2 + y)

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

y*((-2 + y)^2 - (2 + y)^2)/((-2 + y)^2*(2 + y))

Numerical answer [src]

y/(2.0 + y) - 0.25*y*(2.0 + y)/(1 - 0.5*y)^2

y/(2.0 + y) - 0.25*y*(2.0 + y)/(1 - 0.5*y)^2

Combining rational expressions [src]

  /       2          2\
y*\(2 - y)  - (2 + y) /
-----------------------
                   2   
    (2 + y)*(2 - y)

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

y*((2 - y)^2 - (2 + y)^2)/((2 + y)*(2 - y)^2)

Powers [src]

  y     y*(2 + y)
----- - ---------
2 + y           2
         (2 - y)

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

y/(2 + y) - y*(2 + y)/(2 - y)^2

Common denominator [src]

           2       
       -8*y        
-------------------
     3            2
8 + y  - 4*y - 2*y

$$- \frac{8 y^{2}}{y^{3} - 2 y^{2} - 4 y + 8}$$

-8*y^2/(8 + y^3 - 4*y - 2*y^2)

Combinatorics [src]

          2      
      -8*y       
-----------------
        2        
(-2 + y) *(2 + y)

$$- \frac{8 y^{2}}{\left(y - 2\right)^{2} \left(y + 2\right)}$$

-8*y^2/((-2 + y)^2*(2 + y))

Rational denominator [src]

         2            2
y*(2 - y)  - y*(2 + y) 
-----------------------
                   2   
    (2 + y)*(2 - y)

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

(y*(2 - y)^2 - y*(2 + y)^2)/((2 + y)*(2 - y)^2)

Assemble expression [src]

  y     y*(2 + y)
----- - ---------
2 + y           2
         (2 - y)

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

y/(2 + y) - y*(2 + y)/(2 - y)^2

Trigonometric part [src]

  y     y*(2 + y)
----- - ---------
2 + y           2
         (2 - y)

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

y/(2 + y) - y*(2 + y)/(2 - y)^2