Mister Exam

Lang:

How to use it?
Least common denominator:
4*x^(3/2)/3+2*sqrt(x)+x^5/5+e^(5*x^3+1)/15
z*((-z)*log(x)/c+z*log(y)/c)
(z*z-1/2*z)/(z*z-z+1)*z/(z-1/2)
-x^2/(x-2)^2+2*x/(x-2)
Factor polynomial:
x^2+3
x^4-x
x*y^3-x^3*y^2
x^2-1
Factor squared:
y^4+y^2+2
y^4+y^2-15
y^4-y^2-5
-y^4+8*y^2-8
How do you in partial fractions?:
(z^2-4*z+16)/(16*z^2-1)*(4*z^2+z)/(z^3+64)-(z+4)/(4*z^2-z)
(5x^2+9x-2)/(x^2-5x-14)
y/(y+2)+(1/(4-y^2)-1/(4-4*y+y^2))/(2/(y-2)^2)
1/(2*sqrt(x))
Identical expressions
z*((-z)*log(x)/c+z*log(y)/c)
z multiply by (( minus z) multiply by logarithm of (x) divide by c plus z multiply by logarithm of (y) divide by c)
z((-z)log(x)/c+zlog(y)/c)
z-zlogx/c+zlogy/c
z*((-z)*log(x) divide by c+z*log(y) divide by c)
Similar expressions
z*((-z)*log(x)/c-z*log(y)/c)
z*((z)*log(x)/c+z*log(y)/c)

Least common denominator z((-z)log(x)/c+z*log(y)/c)

You have entered [src]

  /-z*log(x)   z*log(y)\
z*|--------- + --------|
  \    c          c    /

$$z \left(\frac{- z \log{\left(x \right)}}{c} + \frac{z \log{\left(y \right)}}{c}\right)$$

z*(((-z)*log(x))/c + (z*log(y))/c)

General simplification [src]

 2                   
z *(-log(x) + log(y))
---------------------
          c

$$\frac{z^{2} \left(- \log{\left(x \right)} + \log{\left(y \right)}\right)}{c}$$

z^2*(-log(x) + log(y))/c

Common denominator [src]

 / 2           2       \ 
-\z *log(x) - z *log(y)/ 
-------------------------
            c

$$- \frac{z^{2} \log{\left(x \right)} - z^{2} \log{\left(y \right)}}{c}$$

-(z^2*log(x) - z^2*log(y))/c

Rational denominator [src]

z*(z*log(y) - z*log(x))
-----------------------
           c

$$\frac{z \left(- z \log{\left(x \right)} + z \log{\left(y \right)}\right)}{c}$$

z*(z*log(y) - z*log(x))/c

Combining rational expressions [src]

 2                   
z *(-log(x) + log(y))
---------------------
          c

$$\frac{z^{2} \left(- \log{\left(x \right)} + \log{\left(y \right)}\right)}{c}$$

z^2*(-log(x) + log(y))/c

Assemble expression [src]

 2 /log(y)   log(x)\
z *|------ - ------|
   \  c        c   /

$$z^{2} \left(- \frac{\log{\left(x \right)}}{c} + \frac{\log{\left(y \right)}}{c}\right)$$

  /z*log(y)   z*log(x)\
z*|-------- - --------|
  \   c          c    /

$$z \left(- \frac{z \log{\left(x \right)}}{c} + \frac{z \log{\left(y \right)}}{c}\right)$$

z*(z*log(y) - z*log(x))
-----------------------
           c

$$\frac{z \left(- z \log{\left(x \right)} + z \log{\left(y \right)}\right)}{c}$$

z*(z*log(y) - z*log(x))/c

Combinatorics [src]

  2                    
-z *(-log(y) + log(x)) 
-----------------------
           c

$$- \frac{z^{2} \left(\log{\left(x \right)} - \log{\left(y \right)}\right)}{c}$$

-z^2*(-log(y) + log(x))/c

Numerical answer [src]

z*(z*log(y)/c - z*log(x)/c)

z*(z*log(y)/c - z*log(x)/c)

Trigonometric part [src]

  /z*log(y)   z*log(x)\
z*|-------- - --------|
  \   c          c    /

$$z \left(- \frac{z \log{\left(x \right)}}{c} + \frac{z \log{\left(y \right)}}{c}\right)$$

z*(z*log(y)/c - z*log(x)/c)

Powers [src]

  /z*log(y)   z*log(x)\
z*|-------- - --------|
  \   c          c    /

$$z \left(- \frac{z \log{\left(x \right)}}{c} + \frac{z \log{\left(y \right)}}{c}\right)$$

z*(z*log(y)/c - z*log(x)/c)

Least common denominator z*((-z)*log(x)/c+z*log(y)/c)