Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
z/(2*z-4)-(z^2+4)/(2*z^2-8)-z/(z^2+2*z)
(z-3)/(z+3)*(z+(z^2)/(3-z))
2*(-1+(-1+x)/(2+x))/(2+x)^2
sqrt((w^2*(-t^2)/(1+t^2*w^2))^2+(t*w/(1+t^2*w^2))^2)
Factor polynomial:
m^5-m^3
x^10-1
x^2-y^2
x^4-x^2+1
Least common denominator:
z/x-z+x+z/z
(z-t)/(z+t)/(z-t)^2
(z/40+1/20)*(z/40+4/5)*z
((z^2-49)/(2*z^2+1))*(((14*z+1)/(z-7))+((14*z-1)/(z+7)))
Factor squared:
-y^4-y^2+15
-y^4-y^2-11
y^4-9*y^2-3
-y^4+y^2+4
Least common denominator:
(z-3)/(z+3)*(z+(z^2)/(3-z))
Identical expressions
(z- three)/(z+ three)*(z+(z^ two)/(three -z))
(z minus 3) divide by (z plus 3) multiply by (z plus (z squared ) divide by (3 minus z))
(z minus three) divide by (z plus three) multiply by (z plus (z to the power of two) divide by (three minus z))
(z-3)/(z+3)*(z+(z2)/(3-z))
z-3/z+3*z+z2/3-z
(z-3)/(z+3)*(z+(z²)/(3-z))
(z-3)/(z+3)*(z+(z to the power of 2)/(3-z))
(z-3)/(z+3)(z+(z^2)/(3-z))
(z-3)/(z+3)(z+(z2)/(3-z))
z-3/z+3z+z2/3-z
z-3/z+3z+z^2/3-z
(z-3) divide by (z+3)*(z+(z^2) divide by (3-z))
Similar expressions
(z-3)/(z-3)*(z+(z^2)/(3-z))
(z-3)/(z+3)*(z+(z^2)/(3+z))
(z+3)/(z+3)*(z+(z^2)/(3-z))
(z-3)/(z+3)*(z-(z^2)/(3-z))

How do you (z-3)/(z+3)*(z+(z^2)/(3-z)) in partial fractions?

You have entered [src]

      /       2 \
z - 3 |      z  |
-----*|z + -----|
z + 3 \    3 - z/

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

((z - 3)/(z + 3))*(z + z^2/(3 - z))

General simplification [src]

 -3*z
-----
3 + z

$$- \frac{3 z}{z + 3}$$

-3*z/(3 + z)

Fraction decomposition [src]

-3 + 9/(3 + z)

$$-3 + \frac{9}{z + 3}$$

       9  
-3 + -----
     3 + z

Assemble expression [src]

         /       2 \
         |      z  |
(-3 + z)*|z + -----|
         \    3 - z/
--------------------
       3 + z

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

(-3 + z)*(z + z^2/(3 - z))/(3 + z)

Combinatorics [src]

 -3*z
-----
3 + z

$$- \frac{3 z}{z + 3}$$

-3*z/(3 + z)

Combining rational expressions [src]

  3*z*(-3 + z) 
---------------
(3 + z)*(3 - z)

$$\frac{3 z \left(z - 3\right)}{\left(3 - z\right) \left(z + 3\right)}$$

3*z*(-3 + z)/((3 + z)*(3 - z))

Numerical answer [src]

(-3.0 + z)*(z + z^2/(3.0 - z))/(3.0 + z)

(-3.0 + z)*(z + z^2/(3.0 - z))/(3.0 + z)

Powers [src]

         /       2 \
         |      z  |
(-3 + z)*|z + -----|
         \    3 - z/
--------------------
       3 + z

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

(-3 + z)*(z + z^2/(3 - z))/(3 + z)

Trigonometric part [src]

         /       2 \
         |      z  |
(-3 + z)*|z + -----|
         \    3 - z/
--------------------
       3 + z

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

(-3 + z)*(z + z^2/(3 - z))/(3 + z)

Common denominator [src]

       9  
-3 + -----
     3 + z

$$-3 + \frac{9}{z + 3}$$

-3 + 9/(3 + z)

Rational denominator [src]

         / 2            \
(-3 + z)*\z  + z*(3 - z)/
-------------------------
     (3 + z)*(3 - z)

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

(-3 + z)*(z^2 + z*(3 - z))/((3 + z)*(3 - z))