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^2-z)/(z^2-9))^-1/(z^2-3*z)/(z-1)
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/(a+2)+(a-2)/(a^2+4*a+4)/(a/(2*a-4)+(a^2+4)/(8-2*a)-2/(2*a+a^2))
(z+1)/(z+2)^3/(z-1)
((4*x)^3*x^-11)/((x^-12)*(5*x^5))
Identical expressions
|x- three |/x- three +|x+ one |/x+ one
module of x minus 3| divide by x minus 3 plus |x plus 1| divide by x plus 1
module of x minus three | divide by x minus three plus |x plus one | divide by x plus one
|x-3| divide by x-3+|x+1| divide by x+1
Similar expressions
|x-3|/x-3-|x+1|/x+1
|x-3|/x+3+|x+1|/x+1
|x+3|/x-3+|x+1|/x+1
|x-3|/x-3+|x+1|/x-1
|x-3|/x-3+|x-1|/x+1

Least common denominator |x-3|/x-3+|x+1|/x+1

You have entered [src]

|x - 3|       |x + 1|    
------- - 3 + ------- + 1
   x             x

$$\left(\left(-3 + \frac{\left|{x - 3}\right|}{x}\right) + \frac{\left|{x + 1}\right|}{x}\right) + 1$$

|x - 3|/x - 3 + |x + 1|/x + 1

General simplification [src]

-2*x + |1 + x| + |-3 + x|
-------------------------
            x

$$\frac{- 2 x + \left|{x - 3}\right| + \left|{x + 1}\right|}{x}$$

(-2*x + |1 + x| + |-3 + x|)/x

Trigonometric part [src]

     |1 + x|   |-3 + x|
-2 + ------- + --------
        x         x

$$-2 + \frac{\left|{x - 3}\right|}{x} + \frac{\left|{x + 1}\right|}{x}$$

-2 + |1 + x|/x + |-3 + x|/x

Combining rational expressions [src]

-2*x + |1 + x| + |-3 + x|
-------------------------
            x

$$\frac{- 2 x + \left|{x - 3}\right| + \left|{x + 1}\right|}{x}$$

(-2*x + |1 + x| + |-3 + x|)/x

Powers [src]

     |1 + x|   |-3 + x|
-2 + ------- + --------
        x         x

$$-2 + \frac{\left|{x - 3}\right|}{x} + \frac{\left|{x + 1}\right|}{x}$$

-2 + |1 + x|/x + |-3 + x|/x

Numerical answer [src]

-2.0 + |x + 1|/x + |x - 3|/x

-2.0 + |x + 1|/x + |x - 3|/x

Combinatorics [src]

-(-|1 + x| - |-3 + x| + 2*x) 
-----------------------------
              x

$$- \frac{2 x - \left|{x - 3}\right| - \left|{x + 1}\right|}{x}$$

-(-|1 + x| - |-3 + x| + 2*x)/x

Common denominator [src]

     |1 + x| + |-3 + x|
-2 + ------------------
             x

$$-2 + \frac{\left|{x - 3}\right| + \left|{x + 1}\right|}{x}$$

-2 + (|1 + x| + |-3 + x|)/x

Rational denominator [src]

-2*x + |1 + x| + |-3 + x|
-------------------------
            x

$$\frac{- 2 x + \left|{x - 3}\right| + \left|{x + 1}\right|}{x}$$

(-2*x + |1 + x| + |-3 + x|)/x

Assemble expression [src]

     |x + 1|   |x - 3|
-2 + ------- + -------
        x         x

$$-2 + \frac{\left|{x - 3}\right|}{x} + \frac{\left|{x + 1}\right|}{x}$$

-2 + |x + 1|/x + |x - 3|/x