Mister Exam

Lang:

How to use it?
Least common denominator:
z^(((p-3)/(p^2+3*p))/(12/(9-p^2))*(3/(3*p-p^2)))
(z/c+c/z)/(z^2+c^2)/(5*z^9*c)
(z/c-c/z)*5*z*c/(z+c)
(z/b-b/z)*6*z*b/(z+b)
Factor polynomial:
x^3-1
x^7+1
m^3-n^3
x^2+1^2
Factor squared:
y^4+y^2-1
y^4+9*y^2-6
-y^4+9*y^2-5
y^4-9*y^2-5
How do you in partial fractions?:
(((z^2)+(6*z+4))/((z^3)+8))/(1/-1)
(a^2+a*b)/(a+b)
(x^2-6*x-9)/(x-3)
5*((x-4)/(x^2+4*x)-16/(16-x^2))/(1+4/x)
Identical expressions
(z/c+c/z)/(z^ two +c^ two)/(five *z^ nine *c)
(z divide by c plus c divide by z) divide by (z squared plus c squared ) divide by (5 multiply by z to the power of 9 multiply by c)
(z divide by c plus c divide by z) divide by (z to the power of two plus c to the power of two) divide by (five multiply by z to the power of nine multiply by c)
(z/c+c/z)/(z2+c2)/(5*z9*c)
z/c+c/z/z2+c2/5*z9*c
(z/c+c/z)/(z²+c²)/(5*z⁹*c)
(z/c+c/z)/(z to the power of 2+c to the power of 2)/(5*z to the power of 9*c)
(z/c+c/z)/(z^2+c^2)/(5z^9c)
(z/c+c/z)/(z2+c2)/(5z9c)
z/c+c/z/z2+c2/5z9c
z/c+c/z/z^2+c^2/5z^9c
(z divide by c+c divide by z) divide by (z^2+c^2) divide by (5*z^9*c)
Similar expressions
(z/c+c/z)/(z^2-c^2)/(5*z^9*c)
(z/c-c/z)/(z^2+c^2)/(5*z^9*c)

Least common denominator (z/c+c/z)/(z^2+c^2)/(5z^9c)

You have entered [src]

/ z   c \
| - + - |
| c   z |
|-------|
| 2    2|
\z  + c /
---------
     9   
  5*z *c

$$\frac{\frac{1}{c^{2} + z^{2}} \left(\frac{c}{z} + \frac{z}{c}\right)}{c 5 z^{9}}$$

((z/c + c/z)/(z^2 + c^2))/(((5*z^9)*c))

General simplification [src]

   1    
--------
   2  10
5*c *z

$$\frac{1}{5 c^{2} z^{10}}$$

1/(5*c^2*z^10)

Combinatorics [src]

   1    
--------
   2  10
5*c *z

$$\frac{1}{5 c^{2} z^{10}}$$

1/(5*c^2*z^10)

Common denominator [src]

   1    
--------
   2  10
5*c *z

$$\frac{1}{5 c^{2} z^{10}}$$

1/(5*c^2*z^10)

Rational denominator [src]

   1    
--------
   2  10
5*c *z

$$\frac{1}{5 c^{2} z^{10}}$$

1/(5*c^2*z^10)

Numerical answer [src]

0.2*(c/z + z/c)/(c*z^9*(c^2 + z^2))

0.2*(c/z + z/c)/(c*z^9*(c^2 + z^2))

Trigonometric part [src]

     c   z      
     - + -      
     z   c      
----------------
     9 / 2    2\
5*c*z *\c  + z /

$$\frac{\frac{c}{z} + \frac{z}{c}}{5 c z^{9} \left(c^{2} + z^{2}\right)}$$

(c/z + z/c)/(5*c*z^9*(c^2 + z^2))

Expand expression [src]

     z   c      
     - + -      
     c   z      
----------------
     9 / 2    2\
5*c*z *\z  + c /

$$\frac{\frac{c}{z} + \frac{z}{c}}{5 c z^{9} \left(c^{2} + z^{2}\right)}$$

(z/c + c/z)/(5*c*z^9*(z^2 + c^2))

Powers [src]

   c     z    
  --- + ---   
  5*z   5*c   
--------------
   9 / 2    2\
c*z *\c  + z /

$$\frac{\frac{c}{5 z} + \frac{z}{5 c}}{c z^{9} \left(c^{2} + z^{2}\right)}$$

     c   z      
     - + -      
     z   c      
----------------
     9 / 2    2\
5*c*z *\c  + z /

$$\frac{\frac{c}{z} + \frac{z}{c}}{5 c z^{9} \left(c^{2} + z^{2}\right)}$$

(c/z + z/c)/(5*c*z^9*(c^2 + z^2))

Assemble expression [src]

     c   z      
     - + -      
     z   c      
----------------
     9 / 2    2\
5*c*z *\c  + z /

$$\frac{\frac{c}{z} + \frac{z}{c}}{5 c z^{9} \left(c^{2} + z^{2}\right)}$$

(c/z + z/c)/(5*c*z^9*(c^2 + z^2))

Combining rational expressions [src]

   1    
--------
   2  10
5*c *z

$$\frac{1}{5 c^{2} z^{10}}$$

1/(5*c^2*z^10)

Least common denominator (z/c+c/z)/(z^2+c^2)/(5*z^9*c)