Mister Exam

Lang:

How to use it?
Least common denominator:
(sin(4*x)/((2+2*x)*8)+sin(2*x)/2+x/2)/2
(sin(2*x)/2+x)/2
(c*(v/k+1)+t)/((n+k)*(v/k+1)-k)
(a*sqrt(a)+b*sqrt(b))/(sqrt(a)+sqrt(b))/(a-b)+(2*sqrt(b))/(sqrt(a)+sqrt(b))
Factor polynomial:
x^2-y^2+x-y
x^3+y^6
x^6+8
x^3*c^2-x^3*d^2
Factor squared:
y^4-y^2-8
-y^4+y^2-7
y^4-9*y^2+1
-y^2-4*y+3
How do you in partial fractions?:
z/(z+4)^2-z/z^2-16
-2*sqrt(3)/(3*sqrt(1-(2*x-1)^2/3))
(a+4)*a/2+(4*a+16)/(4*a^2+a^3)
((9*b)/(a-b))*((a^2-a*b)/(45*b))
Identical expressions
(c*(v/k+ one)+t)/((n+k)*(v/k+ one)-k)
(c multiply by (v divide by k plus 1) plus t) divide by ((n plus k) multiply by (v divide by k plus 1) minus k)
(c multiply by (v divide by k plus one) plus t) divide by ((n plus k) multiply by (v divide by k plus one) minus k)
(c(v/k+1)+t)/((n+k)(v/k+1)-k)
cv/k+1+t/n+kv/k+1-k
(c*(v divide by k+1)+t) divide by ((n+k)*(v divide by k+1)-k)
Similar expressions
(c*(v/k+1)+t)/((n+k)*(v/k+1)+k)
(c*(v/k+1)+t)/((n+k)*(v/k-1)-k)
(c*(v/k+1)+t)/((n-k)*(v/k+1)-k)
(c*(v/k+1)-t)/((n+k)*(v/k+1)-k)
(c*(v/k-1)+t)/((n+k)*(v/k+1)-k)

Least common denominator (c(v/k+1)+t)/((n+k)(v/k+1)-k)

You have entered [src]

     /v    \       
   c*|- + 1| + t   
     \k    /       
-------------------
        /v    \    
(n + k)*|- + 1| - k
        \k    /

$$\frac{c \left(1 + \frac{v}{k}\right) + t}{- k + \left(1 + \frac{v}{k}\right) \left(k + n\right)}$$

(c*(v/k + 1) + t)/((n + k)*(v/k + 1) - k)

General simplification [src]

-(c*(k + v) + k*t)  
--------------------
 2                  
k  - (k + n)*(k + v)

$$- \frac{c \left(k + v\right) + k t}{k^{2} - \left(k + n\right) \left(k + v\right)}$$

-(c*(k + v) + k*t)/(k^2 - (k + n)*(k + v))

Numerical answer [src]

(t + c*(1.0 + v/k))/(-k + (1.0 + v/k)*(k + n))

(t + c*(1.0 + v/k))/(-k + (1.0 + v/k)*(k + n))

Combinatorics [src]

c*k + c*v + k*t
---------------
k*n + k*v + n*v

$$\frac{c k + c v + k t}{k n + k v + n v}$$

(c*k + c*v + k*t)/(k*n + k*v + n*v)

Rational denominator [src]

c*k + c*v + k*t
---------------
k*n + k*v + n*v

$$\frac{c k + c v + k t}{k n + k v + n v}$$

(c*k + c*v + k*t)/(k*n + k*v + n*v)

Combining rational expressions [src]

   c*(k + v) + k*t    
----------------------
   2                  
- k  + (k + n)*(k + v)

$$\frac{c \left(k + v\right) + k t}{- k^{2} + \left(k + n\right) \left(k + v\right)}$$

(c*(k + v) + k*t)/(-k^2 + (k + n)*(k + v))

Common denominator [src]

c*k + c*v + k*t
---------------
k*n + k*v + n*v

$$\frac{c k + c v + k t}{k n + k v + n v}$$

(c*k + c*v + k*t)/(k*n + k*v + n*v)

Least common denominator (c*(v/k+1)+t)/((n+k)*(v/k+1)-k)