Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
(x-6)/(x^2-36)
(x+1)/(x^3-1)
(4x(x+sqrt(x^2-1)^2))/((x+(sqrtx^2-1))^4-1)
(x^3-4)/(x-2)^2
Factor polynomial:
x^5-2*x^4+x^3-8*x^2+16*x-8
x^5-2*x^4
x^5-2*x^3+4*x
x^5+2*x^3+2*x^2+1
Least common denominator:
x/7+y/7
sqrt(b^2*((1-(b^2-a^2)/(b^2+a^2))^2+(2*a-b*sqrt(1-((b-a)*(b+a)/(b^2+a^2))^2)^2)))
sin(x)-cos(3*pi/(2-x))+cot(3*pi/(2+x))+cot(x)
sin(x)/(a*sqrt(1-cos(x)^2/(a^2)))
Factor squared:
-y^2-4*y*x-6*x^2
y^2-4*y*x-3*x^2
-y^2-4*y*x+5*x^2
-y^2-4*y*b+14*b^2
Identical expressions
(x^ three - four)/(x- two)^ two
(x cubed minus 4) divide by (x minus 2) squared
(x to the power of three minus four) divide by (x minus two) to the power of two
(x3-4)/(x-2)2
x3-4/x-22
(x³-4)/(x-2)²
(x to the power of 3-4)/(x-2) to the power of 2
x^3-4/x-2^2
(x^3-4) divide by (x-2)^2
Similar expressions
(x^3+4)/(x-2)^2
(x^3-4)/(x+2)^2

How do you (x^3-4)/(x-2)^2 in partial fractions?

You have entered [src]

  3     
 x  - 4 
--------
       2
(x - 2)

$$\frac{x^{3} - 4}{\left(x - 2\right)^{2}}$$

(x^3 - 4)/(x - 2)^2

Fraction decomposition [src]

4 + x + 4/(-2 + x)^2 + 12/(-2 + x)

$$x + 4 + \frac{12}{x - 2} + \frac{4}{\left(x - 2\right)^{2}}$$

            4         12  
4 + x + --------- + ------
                2   -2 + x
        (-2 + x)

Numerical answer [src]

0.25*(-4.0 + x^3)/(-1 + 0.5*x)^2

0.25*(-4.0 + x^3)/(-1 + 0.5*x)^2

Common denominator [src]

         -20 + 12*x 
4 + x + ------------
             2      
        4 + x  - 4*x

$$x + \frac{12 x - 20}{x^{2} - 4 x + 4} + 4$$

4 + x + (-20 + 12*x)/(4 + x^2 - 4*x)