Mister Exam

Lang:

How to use it?
Least common denominator:
(z+t)/(t-z)-(t-z)/(t+z)
(z/t-t/z)*5*t*z/z-t
(z*sqrt(z^2-a^2))/2-(a^2*log(2*sqrt(z^2-a^2)+2*z))/2
(z/40+1/20)*(z/40+4/5)*z
Factor polynomial:
x^3+27
x^2-x+5
p^9+64
x^6-x^4*y^2-x^3+x^2*y
Factor squared:
-y^4-y^2+1
-y^4+y^2+1
y^4+y^2+1
-y^4+y^2-10
How do you in partial fractions?:
(z-2)/(6*z+(z-2)*(z-2))+(6/(z*z*z-8))
2*(-1+(-1+x)/(2+x))/(2+x)^2
2/(a+2)+(a-2)/(a^2+4*a+4)/(a/(2*a-4)+(a^2+4)/(8-2*a)-2/(2*a+a^2))
((4*x)^3*x^-11)/((x^-12)*(5*x^5))
Identical expressions
(z/ forty + one / twenty)*(z/ forty + four / five)*z
(z divide by 40 plus 1 divide by 20) multiply by (z divide by 40 plus 4 divide by 5) multiply by z
(z divide by forty plus one divide by twenty) multiply by (z divide by forty plus four divide by five) multiply by z
(z/40+1/20)(z/40+4/5)z
z/40+1/20z/40+4/5z
(z divide by 40+1 divide by 20)*(z divide by 40+4 divide by 5)*z
Similar expressions
(z/40-1/20)*(z/40+4/5)*z
(z/40+1/20)*(z/40-4/5)*z

Least common denominator (z/40+1/20)(z/40+4/5)z

You have entered [src]

/z    1 \ /z    4\  
|-- + --|*|-- + -|*z
\40   20/ \40   5/

$$z \left(\frac{z}{40} + \frac{1}{20}\right) \left(\frac{z}{40} + \frac{4}{5}\right)$$

((z/40 + 1/20)*(z/40 + 4/5))*z

General simplification [src]

z*(2 + z)*(32 + z)
------------------
       1600

$$\frac{z \left(z + 2\right) \left(z + 32\right)}{1600}$$

z*(2 + z)*(32 + z)/1600

Fraction decomposition [src]

z/25 + z^3/1600 + 17*z^2/800

$$\frac{z^{3}}{1600} + \frac{17 z^{2}}{800} + \frac{z}{25}$$

       3        2
z     z     17*z 
-- + ---- + -----
25   1600    800

Factorization [src]

(x + 32)*(x + 2)*x

$$x \left(x + 2\right) \left(x + 32\right)$$

((x + 32)*(x + 2))*x

Rational denominator [src]

z*(40 + 20*z)*(160 + 5*z)
-------------------------
          160000

$$\frac{z \left(5 z + 160\right) \left(20 z + 40\right)}{160000}$$

z*(40 + 20*z)*(160 + 5*z)/160000

Common denominator [src]

       3        2
z     z     17*z 
-- + ---- + -----
25   1600    800

$$\frac{z^{3}}{1600} + \frac{17 z^{2}}{800} + \frac{z}{25}$$

z/25 + z^3/1600 + 17*z^2/800

Combining rational expressions [src]

z*(2 + z)*(32 + z)
------------------
       1600

$$\frac{z \left(z + 2\right) \left(z + 32\right)}{1600}$$

z*(2 + z)*(32 + z)/1600

Combinatorics [src]

z*(2 + z)*(32 + z)
------------------
       1600

$$\frac{z \left(z + 2\right) \left(z + 32\right)}{1600}$$

z*(2 + z)*(32 + z)/1600

Numerical answer [src]

z*(0.05 + 0.025*z)*(0.8 + 0.025*z)

z*(0.05 + 0.025*z)*(0.8 + 0.025*z)

Least common denominator (z/40+1/20)*(z/40+4/5)*z