Mister Exam

Lang:

How to use it?
Least common denominator:
(z/c+c/z)/(z^2+c^2)/(5*z^9*c)
((z*(a+w))/2)+((w*(a-z))/2)+((a-z)*a)
z-6*z/z+1/z-5/z+1
(z-(5*z)/z+1)/(z-4)/(z+1)
Factor polynomial:
m^3-n^3
x^2+1^2
x^2-x+1
x^2-4*x-5
Factor squared:
-y^4-y^2+2
-y^4+9*y^2-5
y^4-9*y^2-5
-y^4-9*y^2-4
How do you in partial fractions?:
((z^2+1)^2/(4*z^2))/(13+12*((z^2+1)/2*z*z))
y/(y-3)+3/(3-y)
(x^2-25)/(x^2+3*x-40)
y/(y+3)^2-y/(y^2)-9
Identical expressions
((z*(a+w))/ two)+((w*(a-z))/ two)+((a-z)*a)
((z multiply by (a plus w)) divide by 2) plus ((w multiply by (a minus z)) divide by 2) plus ((a minus z) multiply by a)
((z multiply by (a plus w)) divide by two) plus ((w multiply by (a minus z)) divide by two) plus ((a minus z) multiply by a)
((z(a+w))/2)+((w(a-z))/2)+((a-z)a)
za+w/2+wa-z/2+a-za
((z*(a+w)) divide by 2)+((w*(a-z)) divide by 2)+((a-z)*a)
Similar expressions
((z*(a-w))/2)+((w*(a-z))/2)+((a-z)*a)
((z*(a+w))/2)+((w*(a-z))/2)+((a+z)*a)
((z*(a+w))/2)+((w*(a+z))/2)+((a-z)*a)
((z*(a+w))/2)+((w*(a-z))/2)-((a-z)*a)
((z*(a+w))/2)-((w*(a-z))/2)+((a-z)*a)

Least common denominator ((z(a+w))/2)+((w(a-z))/2)+((a-z)*a)

You have entered [src]

z*(a + w)   w*(a - z)            
--------- + --------- + (a - z)*a
    2           2

$$a \left(a - z\right) + \left(\frac{w \left(a - z\right)}{2} + \frac{z \left(a + w\right)}{2}\right)$$

(z*(a + w))/2 + (w*(a - z))/2 + (a - z)*a

General simplification [src]

a*(w - z + 2*a)
---------------
       2

$$\frac{a \left(2 a + w - z\right)}{2}$$

a*(w - z + 2*a)/2

Assemble expression [src]

              /a   z\     /a   w\
a*(a - z) + w*|- - -| + z*|- + -|
              \2   2/     \2   2/

$$a \left(a - z\right) + w \left(\frac{a}{2} - \frac{z}{2}\right) + z \left(\frac{a}{2} + \frac{w}{2}\right)$$

              /a   z\   z*(a + w)
a*(a - z) + w*|- - -| + ---------
              \2   2/       2

$$a \left(a - z\right) + w \left(\frac{a}{2} - \frac{z}{2}\right) + \frac{z \left(a + w\right)}{2}$$

              /a   w\   w*(a - z)
a*(a - z) + z*|- + -| + ---------
              \2   2/       2

$$a \left(a - z\right) + \frac{w \left(a - z\right)}{2} + z \left(\frac{a}{2} + \frac{w}{2}\right)$$

            w*(a - z)   z*(a + w)
a*(a - z) + --------- + ---------
                2           2

$$a \left(a - z\right) + \frac{w \left(a - z\right)}{2} + \frac{z \left(a + w\right)}{2}$$

a*(a - z) + w*(a - z)/2 + z*(a + w)/2

Numerical answer [src]

a*(a - z) + 0.5*w*(a - z) + 0.5*z*(a + w)

a*(a - z) + 0.5*w*(a - z) + 0.5*z*(a + w)

Trigonometric part [src]

            w*(a - z)   z*(a + w)
a*(a - z) + --------- + ---------
                2           2

$$a \left(a - z\right) + \frac{w \left(a - z\right)}{2} + \frac{z \left(a + w\right)}{2}$$

a*(a - z) + w*(a - z)/2 + z*(a + w)/2

Common denominator [src]

 2   a*w   a*z
a  + --- - ---
      2     2

$$a^{2} + \frac{a w}{2} - \frac{a z}{2}$$

a^2 + a*w/2 - a*z/2

Combinatorics [src]

-a*(z - w - 2*a) 
-----------------
        2

$$- \frac{a \left(- 2 a - w + z\right)}{2}$$

-a*(z - w - 2*a)/2

Rational denominator [src]

w*(a - z) + z*(a + w) + 2*a*(a - z)
-----------------------------------
                 2

$$\frac{2 a \left(a - z\right) + w \left(a - z\right) + z \left(a + w\right)}{2}$$

(w*(a - z) + z*(a + w) + 2*a*(a - z))/2

Combining rational expressions [src]

w*(a - z) + z*(a + w) + 2*a*(a - z)
-----------------------------------
                 2

$$\frac{2 a \left(a - z\right) + w \left(a - z\right) + z \left(a + w\right)}{2}$$

(w*(a - z) + z*(a + w) + 2*a*(a - z))/2

Powers [src]

            w*(a - z)   z*(a + w)
a*(a - z) + --------- + ---------
                2           2

$$a \left(a - z\right) + \frac{w \left(a - z\right)}{2} + \frac{z \left(a + w\right)}{2}$$

a*(a - z) + w*(a - z)/2 + z*(a + w)/2

Least common denominator ((z*(a+w))/2)+((w*(a-z))/2)+((a-z)*a)