Mister Exam

Lang:

How to use it?
Least common denominator:
((a*sqrt(a)+b*sqrt(b))/(sqrt(a)+sqrt(b)))/(a-b)+(2*sqrt(b))/(sqrt(a)+sqrt(b))
sqrt(b^2*((1-(b^2-a^2)/(b^2+a^2))^2+(2*a-b*sqrt(1-((b-a)*(b+a)/(b^2+a^2))^2)^2)))
(n/((p-4)*(p-4)))-(8/((4-p)*(4-p)))
log((2*x-6^(3/2)+16)/(2*x+6^(3/2)+16))/6^(3/2)
Factor polynomial:
x^4-4-3*a*x+6*a
x^4-3*x
x^4/2-x-x^2/2
x^4-2*x-6*x^2+5*x+2
Factor squared:
x^2-x*t+t^2
x^2-x*a+12*a^2
-x^2+x+8
-x^2-x*b+15*b^2
How do you in partial fractions?:
1/(x^4+x^2)
x^2/(1-x^4)
(w*i*0.00005)/(1+w*i*0.00005)
w^2/(w-6)-12*w-36/(w-6)
Identical expressions
(n/((p- four)*(p- four)))-(eight /((four -p)*(four -p)))
(n divide by ((p minus 4) multiply by (p minus 4))) minus (8 divide by ((4 minus p) multiply by (4 minus p)))
(n divide by ((p minus four) multiply by (p minus four))) minus (eight divide by ((four minus p) multiply by (four minus p)))
(n/((p-4)(p-4)))-(8/((4-p)(4-p)))
n/p-4p-4-8/4-p4-p
(n divide by ((p-4)*(p-4)))-(8 divide by ((4-p)*(4-p)))
Similar expressions
(n/((p+4)*(p-4)))-(8/((4-p)*(4-p)))
(n/((p-4)*(p-4)))-(8/((4+p)*(4-p)))
(n/((p-4)*(p-4)))+(8/((4-p)*(4-p)))
(n/((p-4)*(p+4)))-(8/((4-p)*(4-p)))
(n/((p-4)*(p-4)))-(8/((4-p)*(4+p)))

Least common denominator (n/((p-4)(p-4)))-(8/((4-p)(4-p)))

You have entered [src]

       n                 8       
--------------- - ---------------
(p - 4)*(p - 4)   (4 - p)*(4 - p)

$$\frac{n}{\left(p - 4\right) \left(p - 4\right)} - \frac{8}{\left(4 - p\right) \left(4 - p\right)}$$

n/(((p - 4)*(p - 4))) - 8/(4 - p)^2

General simplification [src]

  -8 + n 
---------
        2
(-4 + p)

$$\frac{n - 8}{\left(p - 4\right)^{2}}$$

(-8 + n)/(-4 + p)^2

Combinatorics [src]

  -8 + n 
---------
        2
(-4 + p)

$$\frac{n - 8}{\left(p - 4\right)^{2}}$$

(-8 + n)/(-4 + p)^2

Assemble expression [src]

     8           n    
- -------- + ---------
         2           2
  (4 - p)    (-4 + p)

$$\frac{n}{\left(p - 4\right)^{2}} - \frac{8}{\left(4 - p\right)^{2}}$$

-8/(4 - p)^2 + n/(-4 + p)^2

Numerical answer [src]

-0.5/(1 - 0.25*p)^2 + 0.0625*n/(-1 + 0.25*p)^2

-0.5/(1 - 0.25*p)^2 + 0.0625*n/(-1 + 0.25*p)^2

Combining rational expressions [src]

            2            2
- 8*(-4 + p)  + n*(4 - p) 
--------------------------
            2        2    
    (-4 + p) *(4 - p)

$$\frac{n \left(4 - p\right)^{2} - 8 \left(p - 4\right)^{2}}{\left(4 - p\right)^{2} \left(p - 4\right)^{2}}$$

(-8*(-4 + p)^2 + n*(4 - p)^2)/((-4 + p)^2*(4 - p)^2)

Common denominator [src]

    -8 + n   
-------------
      2      
16 + p  - 8*p

$$\frac{n - 8}{p^{2} - 8 p + 16}$$

(-8 + n)/(16 + p^2 - 8*p)

Powers [src]

     8           n    
- -------- + ---------
         2           2
  (4 - p)    (-4 + p)

$$\frac{n}{\left(p - 4\right)^{2}} - \frac{8}{\left(4 - p\right)^{2}}$$

-8/(4 - p)^2 + n/(-4 + p)^2

Rational denominator [src]

            2            2
- 8*(-4 + p)  + n*(4 - p) 
--------------------------
            2        2    
    (-4 + p) *(4 - p)

$$\frac{n \left(4 - p\right)^{2} - 8 \left(p - 4\right)^{2}}{\left(4 - p\right)^{2} \left(p - 4\right)^{2}}$$

(-8*(-4 + p)^2 + n*(4 - p)^2)/((-4 + p)^2*(4 - p)^2)

Trigonometric part [src]

     8           n    
- -------- + ---------
         2           2
  (4 - p)    (-4 + p)

$$\frac{n}{\left(p - 4\right)^{2}} - \frac{8}{\left(4 - p\right)^{2}}$$

-8/(4 - p)^2 + n/(-4 + p)^2

Expand expression [src]

     8          n    
- -------- + --------
         2          2
  (4 - p)    (p - 4)

$$\frac{n}{\left(p - 4\right)^{2}} - \frac{8}{\left(4 - p\right)^{2}}$$

-8/(4 - p)^2 + n/(p - 4)^2

Least common denominator (n/((p-4)*(p-4)))-(8/((4-p)*(4-p)))