Mister Exam

Lang:

How to use it?
Least common denominator:
-2*sqrt(3)/(3*sqrt(1-(2*x-1)^2/3))
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))
(z+z/q)*(z-z/q)
z/(z+9)^2-z/(z^2-81)
Factor polynomial:
x^3-8
x^2+4
x^3+1
x^10-1
Factor squared:
y^4+y^2+3
-y^4+y^2+14
y^4-y^2+15
y^4-9*y^2-3
How do you in partial fractions?:
(z/c+c/z)/((z^2+c^2)/(5*z^9*c))
(x^2-9)/(x+3)
y/(y+2)+(1/(4-y^2)-1/(4-4*y+y^2))/(2/(y-2)^2)
(x^2-4)/(x+2)
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)