Mister Exam

Lang:

How to use it?
Least common denominator:
(x+3/(6*x-30))*(450/(x^2+3*x))
((x^3+6*x^2+11*x+6)/(-6))+((-x^3-9*x^2-26*x-24)/6)
x^2*y+16/(y-1)*(x-4)-16*y+x^2/x*y-x-4*y+4
(x2-x1)*x1-(c/a-x1*(x1+x2)/2)
Factor polynomial:
y^2+8*y+16
y^2+4*y-60
y^2-4*y-42
y^2+4*y^2
Factor squared:
-y^2-y*q-4*q^2
y^2+y*q+4*q^2
-y^2+y*x+2*x^2
y^2-y*t-6*t^2
How do you in partial fractions?:
x^2-9/(x+3)^2
(4x-1)/(x^2-4x+8)
1/(x^4+x^2)
((x*x)*x-15*x)*(-2*x/((x*x)*x-15*x)+(5-x*x)*(15-x^2-2*x^2)/((x*x)*x-15*x)^2)/(4*(5-x*x))
Identical expressions
(x two -x1)*x1-(c/a-x1*(x1+x2)/2)
(x2 minus x1) multiply by x1 minus (c divide by a minus x1 multiply by (x1 plus x2) divide by 2)
(x two minus x1) multiply by x1 minus (c divide by a minus x1 multiply by (x1 plus x2) divide by 2)
(x2-x1)x1-(c/a-x1(x1+x2)/2)
x2-x1x1-c/a-x1x1+x2/2
(x2-x1)*x1-(c divide by a-x1*(x1+x2) divide by 2)
Similar expressions
(x2-x1)*x1-(c/a+x1*(x1+x2)/2)
(x2+x1)*x1-(c/a-x1*(x1+x2)/2)
(x2-x1)*x1+(c/a-x1*(x1+x2)/2)
(x2-x1)*x1-(c/a-x1*(x1-x2)/2)

Least common denominator (x2-x1)x1-(c/a-x1(x1+x2)/2)

You have entered [src]

                 c   x1*(x1 + x2)
(x2 - x1)*x1 + - - + ------------
                 a        2

$$x_{1} \left(- x_{1} + x_{2}\right) + \left(\frac{x_{1} \left(x_{1} + x_{2}\right)}{2} - \frac{c}{a}\right)$$

(x2 - x1)*x1 - c/a + (x1*(x1 + x2))/2

General simplification [src]

     a*x1*(-x1 + 3*x2)
-c + -----------------
             2        
----------------------
          a

$$\frac{\frac{a x_{1} \left(- x_{1} + 3 x_{2}\right)}{2} - c}{a}$$

(-c + a*x1*(-x1 + 3*x2)/2)/a

Common denominator [src]

    2              
  x1    c   3*x1*x2
- --- - - + -------
   2    a      2

$$- \frac{x_{1}^{2}}{2} + \frac{3 x_{1} x_{2}}{2} - \frac{c}{a}$$

-x1^2/2 - c/a + 3*x1*x2/2

Powers [src]

               x1*(x1 + x2)   c
x1*(x2 - x1) + ------------ - -
                    2         a

$$x_{1} \left(- x_{1} + x_{2}\right) + \frac{x_{1} \left(x_{1} + x_{2}\right)}{2} - \frac{c}{a}$$

x1*(x2 - x1) + x1*(x1 + x2)/2 - c/a

Combinatorics [src]

 /          2            \ 
-\2*c + a*x1  - 3*a*x1*x2/ 
---------------------------
            2*a

$$- \frac{a x_{1}^{2} - 3 a x_{1} x_{2} + 2 c}{2 a}$$

-(2*c + a*x1^2 - 3*a*x1*x2)/(2*a)

Assemble expression [src]

               x1*(x1 + x2)   c
x1*(x2 - x1) + ------------ - -
                    2         a

$$x_{1} \left(- x_{1} + x_{2}\right) + \frac{x_{1} \left(x_{1} + x_{2}\right)}{2} - \frac{c}{a}$$

   /  x1   3*x2\   c
x1*|- -- + ----| - -
   \  2     2  /   a

$$x_{1} \left(- \frac{x_{1}}{2} + \frac{3 x_{2}}{2}\right) - \frac{c}{a}$$

x1*(-x1/2 + 3*x2/2) - c/a

Rational denominator [src]

-2*c + a*x1*(x1 + x2) + 2*a*x1*(x2 - x1)
----------------------------------------
                  2*a

$$\frac{2 a x_{1} \left(- x_{1} + x_{2}\right) + a x_{1} \left(x_{1} + x_{2}\right) - 2 c}{2 a}$$

(-2*c + a*x1*(x1 + x2) + 2*a*x1*(x2 - x1))/(2*a)

Trigonometric part [src]

               x1*(x1 + x2)   c
x1*(x2 - x1) + ------------ - -
                    2         a

$$x_{1} \left(- x_{1} + x_{2}\right) + \frac{x_{1} \left(x_{1} + x_{2}\right)}{2} - \frac{c}{a}$$

x1*(x2 - x1) + x1*(x1 + x2)/2 - c/a

Numerical answer [src]

x1*(x2 - x1) - c/a + 0.5*x1*(x1 + x2)

x1*(x2 - x1) - c/a + 0.5*x1*(x1 + x2)

Combining rational expressions [src]

-2*c + a*x1*(x1 + x2) + 2*a*x1*(x2 - x1)
----------------------------------------
                  2*a

$$\frac{2 a x_{1} \left(- x_{1} + x_{2}\right) + a x_{1} \left(x_{1} + x_{2}\right) - 2 c}{2 a}$$

(-2*c + a*x1*(x1 + x2) + 2*a*x1*(x2 - x1))/(2*a)

Least common denominator (x2-x1)*x1-(c/a-x1*(x1+x2)/2)