Mister Exam

Lang:

How to use it?
Least common denominator:
((z+p)/(2*(z-p)))-((z-p)/(2*(z+p)))-((p)/(z-p))
(z/b+b/z)/z2+b2/6*z10*b
(z-a)/(5*z-2*a)-(z-4*a)/(z)
(z-(5*z)/z+1)/(z-4)/(z+1)
Factor polynomial:
m^3+n^3
x^3-4*x
x+x^2
x^2+y^2
Factor squared:
-y^4+y^2+11
y^4-9*y^2+8
y^4+9*y^2+8
-y^4-9*y^2+7
How do you in partial fractions?:
-(z^2+1)/(z-(-1-sqrt(3)*i)/2)^2+2*z/(z-(-1-sqrt(3)*i)/2)
(x^2+3*x-4)/(x+4)
(z+1)/(z+2)^3/(z-1)
(x^2-8*x+16)/(x-4)
Identical expressions
(z-a)/(five *z- two *a)-(z- four *a)/(z)
(z minus a) divide by (5 multiply by z minus 2 multiply by a) minus (z minus 4 multiply by a) divide by (z)
(z minus a) divide by (five multiply by z minus two multiply by a) minus (z minus four multiply by a) divide by (z)
(z-a)/(5z-2a)-(z-4a)/(z)
z-a/5z-2a-z-4a/z
(z-a) divide by (5*z-2*a)-(z-4*a) divide by (z)
Similar expressions
(z-a)/(5*z-2*a)+(z-4*a)/(z)
(z+a)/(5*z-2*a)-(z-4*a)/(z)
(z-a)/(5*z+2*a)-(z-4*a)/(z)
(z-a)/(5*z-2*a)-(z+4*a)/(z)

Least common denominator (z-a)/(5z-2a)-(z-4*a)/(z)

You have entered [src]

  z - a     z - 4*a
--------- - -------
5*z - 2*a      z

$$\frac{- a + z}{- 2 a + 5 z} - \frac{- 4 a + z}{z}$$

(z - a)/(5*z - 2*a) - (z - 4*a)/z

General simplification [src]

z*(a - z) + (-z + 4*a)*(-5*z + 2*a)
-----------------------------------
           z*(-5*z + 2*a)

$$\frac{z \left(a - z\right) + \left(2 a - 5 z\right) \left(4 a - z\right)}{z \left(2 a - 5 z\right)}$$

(z*(a - z) + (-z + 4*a)*(-5*z + 2*a))/(z*(-5*z + 2*a))

Combining rational expressions [src]

z*(z - a) - (z - 4*a)*(-2*a + 5*z)
----------------------------------
          z*(-2*a + 5*z)

$$\frac{z \left(- a + z\right) - \left(- 4 a + z\right) \left(- 2 a + 5 z\right)}{z \left(- 2 a + 5 z\right)}$$

(z*(z - a) - (z - 4*a)*(-2*a + 5*z))/(z*(-2*a + 5*z))

Assemble expression [src]

-z + 4*a     z - a   
-------- + ----------
   z       -2*a + 5*z

$$\frac{- a + z}{- 2 a + 5 z} + \frac{4 a - z}{z}$$

(-z + 4*a)/z + (z - a)/(-2*a + 5*z)

Rational denominator [src]

z*(z - a) + (-z + 4*a)*(-2*a + 5*z)
-----------------------------------
           z*(-2*a + 5*z)

$$\frac{z \left(- a + z\right) + \left(- 2 a + 5 z\right) \left(4 a - z\right)}{z \left(- 2 a + 5 z\right)}$$

(z*(z - a) + (-z + 4*a)*(-2*a + 5*z))/(z*(-2*a + 5*z))

Combinatorics [src]

 /   2      2         \ 
-\4*z  + 8*a  - 21*a*z/ 
------------------------
     z*(-2*a + 5*z)

$$- \frac{8 a^{2} - 21 a z + 4 z^{2}}{z \left(- 2 a + 5 z\right)}$$

-(4*z^2 + 8*a^2 - 21*a*z)/(z*(-2*a + 5*z))

Common denominator [src]

            2         
  4   - 40*a  + 97*a*z
- - + ----------------
  5        2          
       25*z  - 10*a*z

$$\frac{- 40 a^{2} + 97 a z}{- 10 a z + 25 z^{2}} - \frac{4}{5}$$

-4/5 + (-40*a^2 + 97*a*z)/(25*z^2 - 10*a*z)

Numerical answer [src]

(z - a)/(5.0*z - 2.0*a) - (z - 4.0*a)/z

(z - a)/(5.0*z - 2.0*a) - (z - 4.0*a)/z

Powers [src]

-z + 4*a     z - a   
-------- + ----------
   z       -2*a + 5*z

$$\frac{- a + z}{- 2 a + 5 z} + \frac{4 a - z}{z}$$

(-z + 4*a)/z + (z - a)/(-2*a + 5*z)

Least common denominator (z-a)/(5*z-2*a)-(z-4*a)/(z)