Mister Exam

Lang:

How to use it?
Least common denominator:
(z+t)/(t-z)-(t-z)/(t+z)
(z/t-t/z)*5*t*z/z-t
(z*sqrt(z^2-a^2))/2-(a^2*log(2*sqrt(z^2-a^2)+2*z))/2
y/(y+2)/-y*(y+2)/(2-y)^2
Factor polynomial:
x^3+27
x^2-x+5
p^9+64
x^6-x^4*y^2-x^3+x^2*y
Factor squared:
-y^4-y^2+1
-y^4+y^2+1
y^4+y^2+1
-y^4+y^2-10
How do you in partial fractions?:
(z-2)/(6*z+(z-2)*(z-2))+(6/(z*z*z-8))
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))
((4*x)^3*x^-11)/((x^-12)*(5*x^5))
sqrt((w^2*(-t^2)/(1+t^2*w^2))^2+(t*w/(1+t^2*w^2))^2)
Identical expressions
(factorial(five)/(m*(m+ one)))*(factorial(m+ one)/(factorial(m- one)*factorial(three)))
(factorial(5) divide by (m multiply by (m plus 1))) multiply by (factorial(m plus 1) divide by (factorial(m minus 1) multiply by factorial(3)))
(factorial(five) divide by (m multiply by (m plus one))) multiply by (factorial(m plus one) divide by (factorial(m minus one) multiply by factorial(three)))
(factorial(5)/(m(m+1)))(factorial(m+1)/(factorial(m-1)factorial(3)))
factorial5/mm+1factorialm+1/factorialm-1factorial3
(factorial(5) divide by (m*(m+1)))*(factorial(m+1) divide by (factorial(m-1)*factorial(3)))
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(3)))
(factorial(5)/(m*(m+1)))*(factorial(m-1)/(factorial(m-1)*factorial(3)))

Least common denominator (factorial(5)/(m(m+1)))(factorial(m+1)/(factorial(m-1)*factorial(3)))

You have entered [src]

    5!      (m + 1)! 
---------*-----------
m*(m + 1) (m - 1)!*3!

$$\frac{5!}{m \left(m + 1\right)} \frac{\left(m + 1\right)!}{3! \left(m - 1\right)!}$$

(factorial(5)/((m*(m + 1))))*(factorial(m + 1)/((factorial(m - 1)*factorial(3))))

General simplification [src]

$$20$$

Combinatorics [src]

$$20$$

Numerical answer [src]

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

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

Assemble expression [src]

     5!*(m + 1)!     
---------------------
m*(1 + m)*3!*(m - 1)!

$$\frac{5! \left(m + 1\right)!}{m \left(m + 1\right) 3! \left(m - 1\right)!}$$

factorial(5)*factorial(m + 1)/(m*(1 + m)*factorial(3)*factorial(m - 1))

Combining rational expressions [src]

    20*(1 + m)!    
-------------------
m*(1 + m)*(-1 + m)!

$$\frac{20 \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

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

Trigonometric part [src]

    20*(1 + m)!    
-------------------
m*(1 + m)*(-1 + m)!

$$\frac{20 \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

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

Common denominator [src]

          5!*(1 + m)!           
--------------------------------
                  2             
m*3!*(-1 + m)! + m *3!*(-1 + m)!

$$\frac{5! \left(m + 1\right)!}{m^{2} \cdot 3! \left(m - 1\right)! + m 3! \left(m - 1\right)!}$$

factorial(5)*factorial(1 + m)/(m*factorial(3)*factorial(-1 + m) + m^2*factorial(3)*factorial(-1 + m))

Powers [src]

    20*(1 + m)!    
-------------------
m*(1 + m)*(-1 + m)!

$$\frac{20 \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

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

Rational denominator [src]

    20*(1 + m)!    
-------------------
m*(1 + m)*(-1 + m)!

$$\frac{20 \left(m + 1\right)!}{m \left(m + 1\right) \left(m - 1\right)!}$$

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

Expand expression [src]

     5!*(m + 1)!     
---------------------
m*(m + 1)*3!*(m - 1)!

$$\frac{5! \left(m + 1\right)!}{m \left(m + 1\right) 3! \left(m - 1\right)!}$$

factorial(5)*factorial(m + 1)/(m*(m + 1)*factorial(3)*factorial(m - 1))

Least common denominator (factorial(5)/(m*(m+1)))*(factorial(m+1)/(factorial(m-1)*factorial(3)))