Mister Exam

Lang:

How to use it?
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))
Factor polynomial:
x^3+27
x^2-x+5
p^9+64
x^6-x^4*y^2-x^3+x^2*y
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 squared:
-y^4-y^2+1
-y^4+y^2+1
y^4+y^2+1
-y^4+y^2-10
Identical expressions
two *(- one +(- one +x)/(two +x))/(two +x)^ two
2 multiply by ( minus 1 plus ( minus 1 plus x) divide by (2 plus x)) divide by (2 plus x) squared
two multiply by ( minus one plus ( minus one plus x) divide by (two plus x)) divide by (two plus x) to the power of two
2*(-1+(-1+x)/(2+x))/(2+x)2
2*-1+-1+x/2+x/2+x2
2*(-1+(-1+x)/(2+x))/(2+x)²
2*(-1+(-1+x)/(2+x))/(2+x) to the power of 2
2(-1+(-1+x)/(2+x))/(2+x)^2
2(-1+(-1+x)/(2+x))/(2+x)2
2-1+-1+x/2+x/2+x2
2-1+-1+x/2+x/2+x^2
2*(-1+(-1+x) divide by (2+x)) divide by (2+x)^2
Similar expressions
2*(-1+(-1+x)/(2+x))/(2-x)^2
2*(-1+(-1+x)/(2-x))/(2+x)^2
2*(1+(-1+x)/(2+x))/(2+x)^2
2*(-1-(-1+x)/(2+x))/(2+x)^2
2*(-1+(1+x)/(2+x))/(2+x)^2
2*(-1+(-1-x)/(2+x))/(2+x)^2

How do you 2*(-1+(-1+x)/(2+x))/(2+x)^2 in partial fractions?

You have entered [src]

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

$$\frac{2 \left(\frac{x - 1}{x + 2} - 1\right)}{\left(x + 2\right)^{2}}$$

(2*(-1 + (-1 + x)/(2 + x)))/(2 + x)^2

General simplification [src]

  -6    
--------
       3
(2 + x)

$$- \frac{6}{\left(x + 2\right)^{3}}$$

-6/(2 + x)^3

Fraction decomposition [src]

-6/(2 + x)^3

$$- \frac{6}{\left(x + 2\right)^{3}}$$

  -6    
--------
       3
(2 + x)

Rational denominator [src]

  -6    
--------
       3
(2 + x)

$$- \frac{6}{\left(x + 2\right)^{3}}$$

-6/(2 + x)^3

Trigonometric part [src]

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

$$\frac{\frac{2 \left(x - 1\right)}{x + 2} - 2}{\left(x + 2\right)^{2}}$$

(-2 + 2*(-1 + x)/(2 + x))/(2 + x)^2

Common denominator [src]

        -6          
--------------------
     3      2       
8 + x  + 6*x  + 12*x

$$- \frac{6}{x^{3} + 6 x^{2} + 12 x + 8}$$

-6/(8 + x^3 + 6*x^2 + 12*x)

Assemble expression [src]

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

$$\frac{\frac{2 \left(x - 1\right)}{x + 2} - 2}{\left(x + 2\right)^{2}}$$

(-2 + 2*(-1 + x)/(2 + x))/(2 + x)^2

Numerical answer [src]

0.25*(-2.0 + 2.0*(-1.0 + x)/(2.0 + x))/(1 + 0.5*x)^2

0.25*(-2.0 + 2.0*(-1.0 + x)/(2.0 + x))/(1 + 0.5*x)^2

Combining rational expressions [src]

  -6    
--------
       3
(2 + x)

$$- \frac{6}{\left(x + 2\right)^{3}}$$

-6/(2 + x)^3

Combinatorics [src]

  -6    
--------
       3
(2 + x)

$$- \frac{6}{\left(x + 2\right)^{3}}$$

-6/(2 + x)^3

Powers [src]

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

$$\frac{\frac{2 \left(x - 1\right)}{x + 2} - 2}{\left(x + 2\right)^{2}}$$

     -2 + 2*x
-2 + --------
      2 + x  
-------------
          2  
   (2 + x)

$$\frac{-2 + \frac{2 x - 2}{x + 2}}{\left(x + 2\right)^{2}}$$

(-2 + (-2 + 2*x)/(2 + x))/(2 + x)^2