Mister Exam

Lang:

How to use it?
Least common denominator:
factorial(5)/(m*(m+1))*factorial(m+1)/factorial(m-1)
sin(k*x+x/2)/2*sin(x/2)+cos(k*x+x)
(z^5-5*z^3+10*z-1/10*z+1/5*z^3-1/z^5)*(z^3-3*z+1/3*z-1/z^3)
((x*x^(1/2)-x)^3)/((((x^(3/4)-1)/(x^(1/4)-1)-x^(1/2))*(1-x))^3)
Factor polynomial:
x^4-5*x^3+6*x^2-10*x+8
t^4/4+4*t^3/3
2*x^3+3*x^2+3*x+1
z^2-20*z+104
Factor squared:
y^4+y^2+9
-y^4-y^2+8
x^2-x*a+4*a^2
3*x^2+5*x-3
How do you in partial fractions?:
(4x^2-3x+1)/(x^4+x^2)
2/x+(3*x-2)/(x+1)
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
((x*x-11*x+30)/(x*x-9*x+20))/((x*x-36)/(x*x-16))
Identical expressions
factorial(five)/(m*(m+ one))*factorial(m+ one)/factorial(m- one)
factorial(5) divide by (m multiply by (m plus 1)) multiply by factorial(m plus 1) divide by factorial(m minus 1)
factorial(five) divide by (m multiply by (m plus one)) multiply by factorial(m plus one) divide by factorial(m minus one)
factorial(5)/(m(m+1))factorial(m+1)/factorial(m-1)
factorial5/mm+1factorialm+1/factorialm-1
factorial(5) divide by (m*(m+1))*factorial(m+1) divide by factorial(m-1)
Similar expressions
(factorial(5)/(m*(m+1)))*(factorial(m+1)/(factorial(m-1)*factorial(3)))
factorial(5)/(m*(m-1))*factorial(m+1)/factorial(m-1)
factorial(5)/(m*(m+1))*factorial(m+1)/factorial(m+1)
factorial(5)/(m*(m+1))*factorial(m-1)/factorial(m-1)

Least common denominator factorial(5)/(m(m+1))factorial(m+1)/factorial(m-1)

You have entered [src]

    5!            
---------*(m + 1)!
m*(m + 1)         
------------------
     (m - 1)!

$$\frac{\frac{5!}{m \left(m + 1\right)} \left(m + 1\right)!}{\left(m - 1\right)!}$$

((factorial(5)/((m*(m + 1))))*factorial(m + 1))/factorial(m - 1)

General simplification [src]

$$120$$

Powers [src]

    120*(1 + m)!   
-------------------
m*(1 + m)*(-1 + m)!

$$\frac{120 \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

120*factorial(1 + m)/(m*(1 + m)*factorial(-1 + m))

Expand expression [src]

   5!*(m + 1)!    
------------------
m*(m + 1)*(m - 1)!

$$\frac{5! \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

factorial(5)*factorial(m + 1)/(m*(m + 1)*factorial(m - 1))

Rational denominator [src]

    120*(1 + m)!   
-------------------
m*(1 + m)*(-1 + m)!

$$\frac{120 \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

120*factorial(1 + m)/(m*(1 + m)*factorial(-1 + m))

Combinatorics [src]

$$120$$

Trigonometric part [src]

    120*(1 + m)!   
-------------------
m*(1 + m)*(-1 + m)!

$$\frac{120 \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

120*factorial(1 + m)/(m*(1 + m)*factorial(-1 + m))

Numerical answer [src]

120.0*factorial(m + 1)/(m*(1.0 + m)*factorial(m - 1))

120.0*factorial(m + 1)/(m*(1.0 + m)*factorial(m - 1))

Assemble expression [src]

   5!*(m + 1)!    
------------------
m*(1 + m)*(m - 1)!

$$\frac{5! \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

factorial(5)*factorial(m + 1)/(m*(1 + m)*factorial(m - 1))

Common denominator [src]

       5!*(1 + m)!        
--------------------------
               2          
m*(-1 + m)! + m *(-1 + m)!

$$\frac{5! \left(m + 1\right)!}{m^{2} \left(m - 1\right)! + m \left(m - 1\right)!}$$

factorial(5)*factorial(1 + m)/(m*factorial(-1 + m) + m^2*factorial(-1 + m))

Combining rational expressions [src]

    120*(1 + m)!   
-------------------
m*(1 + m)*(-1 + m)!

$$\frac{120 \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

120*factorial(1 + m)/(m*(1 + m)*factorial(-1 + m))

Least common denominator factorial(5)/(m*(m+1))*factorial(m+1)/factorial(m-1)