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)* five *z*c/(z+c)
(z divide by c minus c divide by z) multiply by 5 multiply by z multiply by c divide by (z plus c)
(z divide by c minus c divide by z) multiply by five multiply by z multiply by c divide by (z plus c)
(z/c-c/z)5zc/(z+c)
z/c-c/z5zc/z+c
(z divide by c-c divide by z)*5*z*c divide by (z+c)
Similar expressions
(z/c+c/z)*5*z*c/(z+c)
(z/c-c/z)*5*z*c/(z-c)

Least common denominator (z/c-c/z)5z*c/(z+c)

You have entered [src]

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

$$\frac{c z 5 \left(- \frac{c}{z} + \frac{z}{c}\right)}{c + z}$$

((((z/c - c/z)*5)*z)*c)/(z + c)

General simplification [src]

-5*c + 5*z

$$- 5 c + 5 z$$

-5*c + 5*z

Assemble expression [src]

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

$$\frac{c z \left(- \frac{5 c}{z} + \frac{5 z}{c}\right)}{c + z}$$

c*z*(-5*c/z + 5*z/c)/(c + z)

Combinatorics [src]

-5*c + 5*z

$$- 5 c + 5 z$$

-5*c + 5*z

Numerical answer [src]

c*z*(5.0*z/c - 5.0*c/z)/(c + z)

c*z*(5.0*z/c - 5.0*c/z)/(c + z)

Powers [src]

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

$$\frac{c z \left(- \frac{5 c}{z} + \frac{5 z}{c}\right)}{c + z}$$

c*z*(-5*c/z + 5*z/c)/(c + z)

Rational denominator [src]

     2      2
- 5*c  + 5*z 
-------------
    c + z

$$\frac{- 5 c^{2} + 5 z^{2}}{c + z}$$

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

Trigonometric part [src]

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

$$\frac{c z \left(- \frac{5 c}{z} + \frac{5 z}{c}\right)}{c + z}$$

c*z*(-5*c/z + 5*z/c)/(c + z)

Combining rational expressions [src]

     2      2
- 5*c  + 5*z 
-------------
    c + z

$$\frac{- 5 c^{2} + 5 z^{2}}{c + z}$$

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

Common denominator [src]

-5*c + 5*z

$$- 5 c + 5 z$$

-5*c + 5*z

Least common denominator (z/c-c/z)*5*z*c/(z+c)