Mister Exam

Lang:

How to use it?
Least common denominator:
(a/5+a/7)*a^2/4
(z/(z+6)*(z+6))-(z/(z-6)*(z+6))
z/(z+4)^2-z/z^2-16
((y-9)/(y-8))*((y^2-64)/(y^2-16*y-64))
Factor polynomial:
x^4-x^2
x^6+27
x^3-x^5
x^2-y^2+x+y
Factor squared:
y^4-y^2+9
x^2+x+3
y^4-y^2+4
2*x^2+x*y-y^2
How do you in partial fractions?:
-x^2/(x-2)^2+2*x/(x-2)
(a^3+a)/(a^4+a)
1/(3*sqrt(1-x^2/9))
x^3/(x^8+1)
How do you in partial fractions?:
((y-9)/(y-8))*((y^2-64)/(y^2-16*y-64))
Identical expressions
((y- nine)/(y- eight))*((y^ two - sixty-four)/(y^ two - sixteen *y- sixty-four))
((y minus 9) divide by (y minus 8)) multiply by ((y squared minus 64) divide by (y squared minus 16 multiply by y minus 64))
((y minus nine) divide by (y minus eight)) multiply by ((y to the power of two minus sixty minus four) divide by (y to the power of two minus sixteen multiply by y minus sixty minus four))
((y-9)/(y-8))*((y2-64)/(y2-16*y-64))
y-9/y-8*y2-64/y2-16*y-64
((y-9)/(y-8))*((y²-64)/(y²-16*y-64))
((y-9)/(y-8))*((y to the power of 2-64)/(y to the power of 2-16*y-64))
((y-9)/(y-8))((y^2-64)/(y^2-16y-64))
((y-9)/(y-8))((y2-64)/(y2-16y-64))
y-9/y-8y2-64/y2-16y-64
y-9/y-8y^2-64/y^2-16y-64
((y-9) divide by (y-8))*((y^2-64) divide by (y^2-16*y-64))
Similar expressions
((y+9)/(y-8))*((y^2-64)/(y^2-16*y-64))
((y-9)/(y+8))*((y^2-64)/(y^2-16*y-64))
((y-9)/(y-8))*((y^2+64)/(y^2-16*y-64))
((y-9)/(y-8))*((y^2-64)/(y^2+16*y-64))
((y-9)/(y-8))*((y^2-64)/(y^2-16*y+64))

Least common denominator ((y-9)/(y-8))((y^2-64)/(y^2-16y-64))

You have entered [src]

          2         
y - 9    y  - 64    
-----*--------------
y - 8  2            
      y  - 16*y - 64

$$\frac{y - 9}{y - 8} \frac{y^{2} - 64}{\left(y^{2} - 16 y\right) - 64}$$

((y - 9)/(y - 8))*((y^2 - 64)/(y^2 - 16*y - 64))

Fraction decomposition [src]

1 + (-8 + 15*y)/(-64 + y^2 - 16*y)

$$\frac{15 y - 8}{y^{2} - 16 y - 64} + 1$$

       -8 + 15*y   
1 + ---------------
           2       
    -64 + y  - 16*y

General simplification [src]

         2     
  -72 + y  - y 
---------------
       2       
-64 + y  - 16*y

$$\frac{y^{2} - y - 72}{y^{2} - 16 y - 64}$$

(-72 + y^2 - y)/(-64 + y^2 - 16*y)

Combinatorics [src]

(-9 + y)*(8 + y)
----------------
       2        
-64 + y  - 16*y

$$\frac{\left(y - 9\right) \left(y + 8\right)}{y^{2} - 16 y - 64}$$

(-9 + y)*(8 + y)/(-64 + y^2 - 16*y)

Common denominator [src]

       -8 + 15*y   
1 + ---------------
           2       
    -64 + y  - 16*y

$$\frac{15 y - 8}{y^{2} - 16 y - 64} + 1$$

1 + (-8 + 15*y)/(-64 + y^2 - 16*y)

Rational denominator [src]

   /       2\             
   \-64 + y /*(-9 + y)    
--------------------------
         /       2       \
(-8 + y)*\-64 + y  - 16*y/

$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y - 64\right)}$$

(-64 + y^2)*(-9 + y)/((-8 + y)*(-64 + y^2 - 16*y))

Powers [src]

   /       2\             
   \-64 + y /*(-9 + y)    
--------------------------
         /       2       \
(-8 + y)*\-64 + y  - 16*y/

$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y - 64\right)}$$

(-64 + y^2)*(-9 + y)/((-8 + y)*(-64 + y^2 - 16*y))

Trigonometric part [src]

   /       2\             
   \-64 + y /*(-9 + y)    
--------------------------
         /       2       \
(-8 + y)*\-64 + y  - 16*y/

$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y - 64\right)}$$

(-64 + y^2)*(-9 + y)/((-8 + y)*(-64 + y^2 - 16*y))

Combining rational expressions [src]

    /       2\              
    \-64 + y /*(-9 + y)     
----------------------------
(-64 + y*(-16 + y))*(-8 + y)

$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y \left(y - 16\right) - 64\right)}$$

(-64 + y^2)*(-9 + y)/((-64 + y*(-16 + y))*(-8 + y))

Numerical answer [src]

(-64.0 + y^2)*(-9.0 + y)/((-8.0 + y)*(-64.0 + y^2 - 16.0*y))

(-64.0 + y^2)*(-9.0 + y)/((-8.0 + y)*(-64.0 + y^2 - 16.0*y))

Assemble expression [src]

   /       2\             
   \-64 + y /*(-9 + y)    
--------------------------
         /       2       \
(-8 + y)*\-64 + y  - 16*y/

$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y - 64\right)}$$

(-64 + y^2)*(-9 + y)/((-8 + y)*(-64 + y^2 - 16*y))

Least common denominator ((y-9)/(y-8))*((y^2-64)/(y^2-16*y-64))