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)
How do you in partial fractions?:
(a^-2-a/a^-1-1)/(a^2+1)
Identical expressions
(a^- two -a/a^- one - one)/(a^ two + one)
(a to the power of minus 2 minus a divide by a to the power of minus 1 minus 1) divide by (a squared plus 1)
(a to the power of minus two minus a divide by a to the power of minus one minus one) divide by (a to the power of two plus one)
(a-2-a/a-1-1)/(a2+1)
a-2-a/a-1-1/a2+1
(a^-2-a/a^-1-1)/(a²+1)
(a to the power of -2-a/a to the power of -1-1)/(a to the power of 2+1)
a^-2-a/a^-1-1/a^2+1
(a^-2-a divide by a^-1-1) divide by (a^2+1)
Similar expressions
(a^-2-a/a^-1-1)/(a^2-1)
(a^-2-a/a^-1+1)/(a^2+1)
(a^+2-a/a^-1-1)/(a^2+1)
(a^-2+a/a^-1-1)/(a^2+1)
(a^-2-a/a^+1-1)/(a^2+1)

Least common denominator (a^-2-a/a^-1-1)/(a^2+1)

You have entered [src]

1     a     
-- - --- - 1
 2   /1\    
a    |-|    
     \a/    
------------
    2       
   a  + 1

$$\frac{\left(\frac{1}{a^{2}} - \frac{a}{\frac{1}{a}}\right) - 1}{a^{2} + 1}$$

(a^(-2) - a/1/a - 1)/(a^2 + 1)

General simplification [src]

     2    4
1 - a  - a 
-----------
 2 /     2\
a *\1 + a /

$$\frac{- a^{4} - a^{2} + 1}{a^{2} \left(a^{2} + 1\right)}$$

(1 - a^2 - a^4)/(a^2*(1 + a^2))

Fraction decomposition [src]

-1 + a^(-2) - 1/(1 + a^2)

$$-1 - \frac{1}{a^{2} + 1} + \frac{1}{a^{2}}$$

     1      1   
-1 + -- - ------
      2        2
     a    1 + a

Rational denominator [src]

     2    4
1 - a  - a 
-----------
 2 /     2\
a *\1 + a /

$$\frac{- a^{4} - a^{2} + 1}{a^{2} \left(a^{2} + 1\right)}$$

(1 - a^2 - a^4)/(a^2*(1 + a^2))

Numerical answer [src]

(-1.0 + a^(-2) - a^2)/(1.0 + a^2)

(-1.0 + a^(-2) - a^2)/(1.0 + a^2)

Assemble expression [src]

     1     2
-1 + -- - a 
      2     
     a      
------------
        2   
   1 + a

$$\frac{- a^{2} - 1 + \frac{1}{a^{2}}}{a^{2} + 1}$$

(-1 + a^(-2) - a^2)/(1 + a^2)

Powers [src]

     1     2
-1 + -- - a 
      2     
     a      
------------
        2   
   1 + a

$$\frac{- a^{2} - 1 + \frac{1}{a^{2}}}{a^{2} + 1}$$

(-1 + a^(-2) - a^2)/(1 + a^2)

Common denominator [src]

        1   
-1 + -------
      2    4
     a  + a

$$-1 + \frac{1}{a^{4} + a^{2}}$$

-1 + 1/(a^2 + a^4)

Trigonometric part [src]

     1     2
-1 + -- - a 
      2     
     a      
------------
        2   
   1 + a

$$\frac{- a^{2} - 1 + \frac{1}{a^{2}}}{a^{2} + 1}$$

(-1 + a^(-2) - a^2)/(1 + a^2)

Combining rational expressions [src]

     2    4
1 - a  - a 
-----------
 2 /     2\
a *\1 + a /

$$\frac{- a^{4} - a^{2} + 1}{a^{2} \left(a^{2} + 1\right)}$$

(1 - a^2 - a^4)/(a^2*(1 + a^2))

Combinatorics [src]

 /      2    4\ 
-\-1 + a  + a / 
----------------
   2 /     2\   
  a *\1 + a /

$$- \frac{a^{4} + a^{2} - 1}{a^{2} \left(a^{2} + 1\right)}$$

-(-1 + a^2 + a^4)/(a^2*(1 + a^2))