Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
(x^2-x-6)/(x+2)
((z^2-49)/(2*z^2+1))*(((14*z+1)/(z-7))+((14*z-1)/(z+7)))
(z^2-4*z+16)/(16*z^2-1)*(4*z^2+z)/(z^3+64)-(z+4)/(4*z^2-z)/7/(z^2+4*z)-(20*z+13)/(7-28*z)
sqrt(b)-(b-1/b^2)/(sqrt(b)-1/sqrt(b))+(1-1/b^2)/(sqrt(b)+1/sqrt(b))+2/b^(3/2)
Factor polynomial:
x^3-x
x^3+5*x^2+7*x+3
y^2/2+y^23/23
x^3+x^4
Least common denominator:
(x*(x-6)^2)^(1/3)*((x-6)^2/3+x*(-12+2*x)/3)/(x*(x-6)^2)
(a+1/a+2)/a+1
1/(1+x^2/3)
(sin(4*x)/((2+2*x)*8)-sin(2*x)/2+x/2)/2
Factor squared:
y^4+y^2-3
y^4-y^2-3
y^2+4*y-3
-y^2+4*y+3
Identical expressions
two /(x+ two)-(two *x- six)/(x+ two)^ two
2 divide by (x plus 2) minus (2 multiply by x minus 6) divide by (x plus 2) squared
two divide by (x plus two) minus (two multiply by x minus six) divide by (x plus two) to the power of two
2/(x+2)-(2*x-6)/(x+2)2
2/x+2-2*x-6/x+22
2/(x+2)-(2*x-6)/(x+2)²
2/(x+2)-(2*x-6)/(x+2) to the power of 2
2/(x+2)-(2x-6)/(x+2)^2
2/(x+2)-(2x-6)/(x+2)2
2/x+2-2x-6/x+22
2/x+2-2x-6/x+2^2
2 divide by (x+2)-(2*x-6) divide by (x+2)^2
Similar expressions
2/(x+2)-(2*x-6)/(x-2)^2
2/(x+2)-(2*x+6)/(x+2)^2
2/(x-2)-(2*x-6)/(x+2)^2
2/(x+2)+(2*x-6)/(x+2)^2

How do you 2/(x+2)-(2*x-6)/(x+2)^2 in partial fractions?

You have entered [src]

  2     2*x - 6 
----- - --------
x + 2          2
        (x + 2)

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

2/(x + 2) - (2*x - 6)/(x + 2)^2

Fraction decomposition [src]

10/(2 + x)^2

$$\frac{10}{\left(x + 2\right)^{2}}$$

   10   
--------
       2
(2 + x)

General simplification [src]

   10   
--------
       2
(2 + x)

$$\frac{10}{\left(x + 2\right)^{2}}$$

10/(2 + x)^2

Numerical answer [src]

2.0/(2.0 + x) - 0.25*(-6.0 + 2.0*x)/(1 + 0.5*x)^2

2.0/(2.0 + x) - 0.25*(-6.0 + 2.0*x)/(1 + 0.5*x)^2

Common denominator [src]

     10     
------------
     2      
4 + x  + 4*x

$$\frac{10}{x^{2} + 4 x + 4}$$

10/(4 + x^2 + 4*x)

Powers [src]

  2     -6 + 2*x
----- - --------
2 + x          2
        (2 + x)

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

  2     6 - 2*x 
----- + --------
2 + x          2
        (2 + x)

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

2/(2 + x) + (6 - 2*x)/(2 + x)^2

Assemble expression [src]

  2     -6 + 2*x
----- - --------
2 + x          2
        (2 + x)

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

2/(2 + x) - (-6 + 2*x)/(2 + x)^2

Rational denominator [src]

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

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

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

Combining rational expressions [src]

   10   
--------
       2
(2 + x)

$$\frac{10}{\left(x + 2\right)^{2}}$$

10/(2 + x)^2

Combinatorics [src]

   10   
--------
       2
(2 + x)

$$\frac{10}{\left(x + 2\right)^{2}}$$

10/(2 + x)^2

Trigonometric part [src]

  2     -6 + 2*x
----- - --------
2 + x          2
        (2 + x)

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

2/(2 + x) - (-6 + 2*x)/(2 + x)^2