Mister Exam

Lang:

How to use it?
Least common denominator:
(a+1/a+2)/a+1
4*x^(3/2)/3+2*sqrt(x)+x^5/5+e^(5*x^3+1)/15
(2*a+b)/(a^2-b^2)+1/(a+b)
2/(a+2)+(a-2)/(a^2+4*a+4)/(a/(2*a-4)+(a^2+4)/(8-2*a)-2/(2*a+a^2))
Factor polynomial:
x^2-3*x+2
y^3+y^5
x^4+1
x^2+4
Factor squared:
y^4-y^2-2
y^4-y^2+15
x^2-x-6
x^2-x-3
How do you in partial fractions?:
((z^2-z)/(z^2-9))^-1/(z^2-3*z)/(z-1)
((z)-((7*z)/(z+3)))*((z+3)/(z-4))
z-2/4*z^2+16*z+16/(z/2*z-4-z^2+4/2*z^2-8-2/z^2+2*z)
(x^2-9)/(x+3)
Identical expressions
(y/x-y+x/x+y)/(one /x2/y2)
(y divide by x minus y plus x divide by x plus y) divide by (1 divide by x2 divide by y2)
(y divide by x minus y plus x divide by x plus y) divide by (one divide by x2 divide by y2)
y/x-y+x/x+y/1/x2/y2
(y divide by x-y+x divide by x+y) divide by (1 divide by x2 divide by y2)
Similar expressions
(y/x-y+x/x-y)/(1/x2/y2)
(y/x-y-x/x+y)/(1/x2/y2)
(y/x+y+x/x+y)/(1/x2/y2)

Least common denominator (y/x-y+x/x+y)/(1/x2/y2)

You have entered [src]

y       x    
- - y + - + y
x       x    
-------------
   /  1  \   
   |-----|   
   \x2*y2/

$$\frac{y + \left(\left(- y + \frac{y}{x}\right) + \frac{x}{x}\right)}{\frac{1}{x_{2}} \frac{1}{y_{2}}}$$

(y/x - y + x/x + y)/((1/(x2*y2)))

General simplification [src]

x2*y2*(x + y)
-------------
      x

$$\frac{x_{2} y_{2} \left(x + y\right)}{x}$$

x2*y2*(x + y)/x

Rational denominator [src]

x2*y2*(x + y)
-------------
      x

$$\frac{x_{2} y_{2} \left(x + y\right)}{x}$$

x2*y2*(x + y)/x

Trigonometric part [src]

      /    y\
x2*y2*|1 + -|
      \    x/

$$x_{2} y_{2} \left(1 + \frac{y}{x}\right)$$

x2*y2*(1 + y/x)

Numerical answer [src]

x2*y2*(1 + y/x)

x2*y2*(1 + y/x)

Expand expression [src]

      /y       x    \
x2*y2*|- - y + - + y|
      \x       x    /

$$x_{2} y_{2} \left(y + \left(\left(- y + \frac{y}{x}\right) + \frac{x}{x}\right)\right)$$

x2*y2*(y/x - y + x/x + y)

Assemble expression [src]

      /    y\
x2*y2*|1 + -|
      \    x/

$$x_{2} y_{2} \left(1 + \frac{y}{x}\right)$$

x2*y2*(1 + y/x)

Combinatorics [src]

x2*y2*(x + y)
-------------
      x

$$\frac{x_{2} y_{2} \left(x + y\right)}{x}$$

x2*y2*(x + y)/x

Combining rational expressions [src]

x2*y2*(x + x*y + y*(1 - x))
---------------------------
             x

$$\frac{x_{2} y_{2} \left(x y + x + y \left(1 - x\right)\right)}{x}$$

x2*y2*(x + x*y + y*(1 - x))/x

Common denominator [src]

        x2*y*y2
x2*y2 + -------
           x

$$x_{2} y_{2} + \frac{x_{2} y y_{2}}{x}$$

x2*y2 + x2*y*y2/x

Powers [src]

      /    y\
x2*y2*|1 + -|
      \    x/

$$x_{2} y_{2} \left(1 + \frac{y}{x}\right)$$

x2*y2*(1 + y/x)