Mister Exam

Lang:

How to use it?
Least common denominator:
a/(a+b)+a^2/(b^2-a^2)
z/(z+4)^2-z/z^2-16
sin(pi/2-pi*a/(2*b))
exp(x)/x-exp(x)/x^2
Factor polynomial:
x^2-49
x^6+8
x^4+x^3
x^3*c^2-x^3*d^2
Factor squared:
-y^4+y^2-7
y^4-y^2+9
y^4-y^2-8
x^2+x+3
How do you in partial fractions?:
-1/(2*x^2)
x^3/(x^8+1)
(z*(z^2+6*z+1)-(4*z*(z+1)))/(z-1)^3+z*(z-1)/(z+1)^3
(2x+3)/(x^2-9)
Identical expressions
exp(x)/x-exp(x)/x^ two
exponent of (x) divide by x minus exponent of (x) divide by x squared
exponent of (x) divide by x minus exponent of (x) divide by x to the power of two
exp(x)/x-exp(x)/x2
expx/x-expx/x2
exp(x)/x-exp(x)/x²
exp(x)/x-exp(x)/x to the power of 2
expx/x-expx/x^2
exp(x) divide by x-exp(x) divide by x^2
Similar expressions
exp(x)/x+exp(x)/x^2

Least common denominator exp(x)/x-exp(x)/x^2

You have entered [src]

 x    x
e    e 
-- - --
x     2
     x

$$- \frac{e^{x}}{x^{2}} + \frac{e^{x}}{x}$$

exp(x)/x - exp(x)/x^2

General simplification [src]

          x
(-1 + x)*e 
-----------
      2    
     x

$$\frac{\left(x - 1\right) e^{x}}{x^{2}}$$

(-1 + x)*exp(x)/x^2

Common denominator [src]

   x      x
- e  + x*e 
-----------
      2    
     x

$$\frac{x e^{x} - e^{x}}{x^{2}}$$

(-exp(x) + x*exp(x))/x^2

Numerical answer [src]

exp(x)/x - exp(x)/x^2

exp(x)/x - exp(x)/x^2

Powers [src]

 x    x
e    e 
-- - --
x     2
     x

$$\frac{e^{x}}{x} - \frac{e^{x}}{x^{2}}$$

exp(x)/x - exp(x)/x^2

Assemble expression [src]

 x    x
e    e 
-- - --
x     2
     x

$$\frac{e^{x}}{x} - \frac{e^{x}}{x^{2}}$$

exp(x)/x - exp(x)/x^2

Combinatorics [src]

          x
(-1 + x)*e 
-----------
      2    
     x

$$\frac{\left(x - 1\right) e^{x}}{x^{2}}$$

(-1 + x)*exp(x)/x^2

Combining rational expressions [src]

          x
(-1 + x)*e 
-----------
      2    
     x

$$\frac{\left(x - 1\right) e^{x}}{x^{2}}$$

(-1 + x)*exp(x)/x^2

Rational denominator [src]

 2  x      x
x *e  - x*e 
------------
      3     
     x

$$\frac{x^{2} e^{x} - x e^{x}}{x^{3}}$$

(x^2*exp(x) - x*exp(x))/x^3

Trigonometric part [src]

 x    x
e    e 
-- - --
x     2
     x

$$\frac{e^{x}}{x} - \frac{e^{x}}{x^{2}}$$

cosh(x) + sinh(x)   cosh(x) + sinh(x)
----------------- - -----------------
        x                    2       
                            x

$$\frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{x} - \frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{x^{2}}$$

(cosh(x) + sinh(x))/x - (cosh(x) + sinh(x))/x^2