Mister Exam

Lang:

How to use it?
Least common denominator:
4*((sin(8*x)/2+4*x)/8-sin(4*x)/2+x)
((z)-(7*z/z+3))*((z+3)/(z-4))
((z^2-z)/(z^2-9))^-1/(z^2-3*z)/(z-1)
(y/(y-10))-(y^2/(y^2-100))
Factor polynomial:
x^3-1^3+3^3-x^3
x^2+x-6
x^2+4
x+x^2
Factor squared:
y^4-y^2+12
-y^4+y^2+11
y^4-y^2-5
x^2+x-2
How do you in partial fractions?:
(z/c+c/z)/((z^2+c^2)/(5*z^9*c))
(x^2-x-12)/(x+3)
x/(2x^2-3x-2)
1/(cos(x)^2)
How do you in partial fractions?:
(y/(y-10))-(y^2/(y^2-100))
Identical expressions
(y/(y- ten))-(y^ two /(y^ two - one hundred))
(y divide by (y minus 10)) minus (y squared divide by (y squared minus 100))
(y divide by (y minus ten)) minus (y to the power of two divide by (y to the power of two minus one hundred))
(y/(y-10))-(y2/(y2-100))
y/y-10-y2/y2-100
(y/(y-10))-(y²/(y²-100))
(y/(y-10))-(y to the power of 2/(y to the power of 2-100))
y/y-10-y^2/y^2-100
(y divide by (y-10))-(y^2 divide by (y^2-100))
Similar expressions
(y/(y-10))+(y^2/(y^2-100))
(y/(y+10))-(y^2/(y^2-100))
(y/(y-10))-(y^2/(y^2+100))

Least common denominator (y/(y-10))-(y^2/(y^2-100))

You have entered [src]

             2   
  y         y    
------ - --------
y - 10    2      
         y  - 100

$$- \frac{y^{2}}{y^{2} - 100} + \frac{y}{y - 10}$$

y/(y - 10) - y^2/(y^2 - 100)

Fraction decomposition [src]

5/(-10 + y) + 5/(10 + y)

$$\frac{5}{y + 10} + \frac{5}{y - 10}$$

   5        5   
------- + ------
-10 + y   10 + y

General simplification [src]

   10*y  
---------
        2
-100 + y

$$\frac{10 y}{y^{2} - 100}$$

10*y/(-100 + y^2)

Numerical answer [src]

y/(-10.0 + y) - y^2/(-100.0 + y^2)

y/(-10.0 + y) - y^2/(-100.0 + y^2)

Combinatorics [src]

       10*y       
------------------
(-10 + y)*(10 + y)

$$\frac{10 y}{\left(y - 10\right) \left(y + 10\right)}$$

10*y/((-10 + y)*(10 + y))

Rational denominator [src]

  /        2\    2          
y*\-100 + y / - y *(-10 + y)
----------------------------
   /        2\              
   \-100 + y /*(-10 + y)

$$\frac{- y^{2} \left(y - 10\right) + y \left(y^{2} - 100\right)}{\left(y - 10\right) \left(y^{2} - 100\right)}$$

(y*(-100 + y^2) - y^2*(-10 + y))/((-100 + y^2)*(-10 + y))

Common denominator [src]

   10*y  
---------
        2
-100 + y

$$\frac{10 y}{y^{2} - 100}$$

10*y/(-100 + y^2)

Combining rational expressions [src]

  /        2              \
y*\-100 + y  - y*(-10 + y)/
---------------------------
   /        2\             
   \-100 + y /*(-10 + y)

$$\frac{y \left(y^{2} - y \left(y - 10\right) - 100\right)}{\left(y - 10\right) \left(y^{2} - 100\right)}$$

y*(-100 + y^2 - y*(-10 + y))/((-100 + y^2)*(-10 + y))