Mister Exam

Lang:

How to use it?
Factor polynomial:
x^2+x^2
m^2-n^2
x^2-16
m^2+m-2
Least common denominator:
(z/b+b/z)/z^2+b^(2/7)*z^(16*b)
(z^5-5*z^3+10*z-10/z+5/z^3-1/z^5)*(z^3-3*z+3/z-1/z^3)
z/4*(x-y)-2*z/x-y
(z-3)/(z+3)*(z+(z^2)/(3-z))
Factor squared:
-y^4+9*y^2-3
-y^4-9*y^2+15
y^4-8*y^2-9
-y^4-8*y^2+7
How do you in partial fractions?:
-16/(x-3)+(x^2+7)/(x-3)
y/(y+3)+y/3+2/y
1/(x^4-1)
(10*x^3-15*a*x^2)/(21*a*x^3-14*x^4)
Identical expressions
z^ three +z^ two / ten -z/ four - one / forty
z cubed plus z squared divide by 10 minus z divide by 4 minus 1 divide by 40
z to the power of three plus z to the power of two divide by ten minus z divide by four minus one divide by forty
z3+z2/10-z/4-1/40
z³+z²/10-z/4-1/40
z to the power of 3+z to the power of 2/10-z/4-1/40
z^3+z^2 divide by 10-z divide by 4-1 divide by 40
Similar expressions
z^3-z^2/10-z/4-1/40
z^3+z^2/10+z/4-1/40
z^3+z^2/10-z/4+1/40

Factor polynomial z^3+z^2/10-z/4-1/40

You have entered [src]

      2         
 3   z    z   1 
z  + -- - - - --
     10   4   40

$$\left(- \frac{z}{4} + \left(z^{3} + \frac{z^{2}}{10}\right)\right) - \frac{1}{40}$$

z^3 + z^2/10 - z/4 - 1/40

Fraction decomposition [src]

-1/40 + z^3 - z/4 + z^2/10

$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$

                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10

General simplification [src]

                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10

$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$

-1/40 + z^3 - z/4 + z^2/10

Factorization [src]

(x + 1/2)*(x + 1/10)*(x - 1/2)

$$\left(x + \frac{1}{10}\right) \left(x + \frac{1}{2}\right) \left(x - \frac{1}{2}\right)$$

((x + 1/2)*(x + 1/10))*(x - 1/2)

Powers [src]

                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10

$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$

-1/40 + z^3 - z/4 + z^2/10

Numerical answer [src]

-0.025 + z^3 + 0.1*z^2 - 0.25*z

-0.025 + z^3 + 0.1*z^2 - 0.25*z

Combinatorics [src]

(1 + 2*z)*(1 + 10*z)*(-1 + 2*z)
-------------------------------
               40

$$\frac{\left(2 z - 1\right) \left(2 z + 1\right) \left(10 z + 1\right)}{40}$$

(1 + 2*z)*(1 + 10*z)*(-1 + 2*z)/40

Rational denominator [src]

                   2         3
-40 - 400*z + 160*z  + 1600*z 
------------------------------
             1600

$$\frac{1600 z^{3} + 160 z^{2} - 400 z - 40}{1600}$$

(-40 - 400*z + 160*z^2 + 1600*z^3)/1600

Common denominator [src]

                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10

$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$

-1/40 + z^3 - z/4 + z^2/10

Assemble expression [src]

                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10

$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$

-1/40 + z^3 - z/4 + z^2/10

Trigonometric part [src]

                 2
  1     3   z   z 
- -- + z  - - + --
  40        4   10

$$z^{3} + \frac{z^{2}}{10} - \frac{z}{4} - \frac{1}{40}$$

-1/40 + z^3 - z/4 + z^2/10

Combining rational expressions [src]

-1 + 2*z*(-5 + 2*z*(1 + 10*z))
------------------------------
              40

$$\frac{2 z \left(2 z \left(10 z + 1\right) - 5\right) - 1}{40}$$

(-1 + 2*z*(-5 + 2*z*(1 + 10*z)))/40