Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
sqrt((49/50-x^2/(193/2)^2)*5041)
4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))
(2-i)^2-z/i+((4-i)*i^7)/(i-2)
1/(x-x^2)
Factor polynomial:
y-4^2
-y^3-5*x^2*y+x^4+5*x^4-7*x^2*y+6*y^3
y^3-2*y^2*z-4*y*z+8*z^2
y^3+2*y^2*x^2-2*x^3
Least common denominator:
x+x*(y/12/100)*z
(((x-x1)*(x-x2))/((x0-x1)*(x0-x2)))*y0+(((x-x0)*(x-x2))/((x1-x0)*(x1-x2)))*y1
(x/x-1+1)-x2/4*x2-1
(x/x+1+1)-x^2/4*x^2-1
Factor squared:
y^4-4*y^2-12
y^4+2*y^2+5
y^4+4*y^2+10
-y^4+3*y^2+6
Identical expressions
(x^ three - twenty-seven)/(4x^ two + twelve *x+ thirty-six)
(x cubed minus 27) divide by (4x squared plus 12 multiply by x plus 36)
(x to the power of three minus twenty minus seven) divide by (4x to the power of two plus twelve multiply by x plus thirty minus six)
(x3-27)/(4x2+12*x+36)
x3-27/4x2+12*x+36
(x³-27)/(4x²+12*x+36)
(x to the power of 3-27)/(4x to the power of 2+12*x+36)
(x^3-27)/(4x^2+12x+36)
(x3-27)/(4x2+12x+36)
x3-27/4x2+12x+36
x^3-27/4x^2+12x+36
(x^3-27) divide by (4x^2+12*x+36)
Similar expressions
(x^3-27)/(4x^2+12*x-36)
(x^3-27)/(4x^2-12*x+36)
(x^3+27)/(4x^2+12*x+36)

How do you (x^3-27)/(4x^2+12*x+36) in partial fractions?

You have entered [src]

     3          
    x  - 27     
----------------
   2            
4*x  + 12*x + 36

$$\frac{x^{3} - 27}{\left(4 x^{2} + 12 x\right) + 36}$$

(x^3 - 27)/(4*x^2 + 12*x + 36)

Fraction decomposition [src]

-3/4 + x/4

$$\frac{x}{4} - \frac{3}{4}$$

  3   x
- - + -
  4   4

General simplification [src]

  3   x
- - + -
  4   4

$$\frac{x}{4} - \frac{3}{4}$$

-3/4 + x/4

Common denominator [src]

  3   x
- - + -
  4   4

$$\frac{x}{4} - \frac{3}{4}$$

-3/4 + x/4

Numerical answer [src]

(-27.0 + x^3)/(36.0 + 4.0*x^2 + 12.0*x)

(-27.0 + x^3)/(36.0 + 4.0*x^2 + 12.0*x)

Combining rational expressions [src]

            3    
     -27 + x     
-----------------
4*(9 + x*(3 + x))

$$\frac{x^{3} - 27}{4 \left(x \left(x + 3\right) + 9\right)}$$

(-27 + x^3)/(4*(9 + x*(3 + x)))

Combinatorics [src]

  3   x
- - + -
  4   4

$$\frac{x}{4} - \frac{3}{4}$$

-3/4 + x/4

Rational denominator [src]

           3    
    -27 + x     
----------------
        2       
36 + 4*x  + 12*x

$$\frac{x^{3} - 27}{4 x^{2} + 12 x + 36}$$

(-27 + x^3)/(36 + 4*x^2 + 12*x)

Assemble expression [src]

           3    
    -27 + x     
----------------
        2       
36 + 4*x  + 12*x

$$\frac{x^{3} - 27}{4 x^{2} + 12 x + 36}$$

(-27 + x^3)/(36 + 4*x^2 + 12*x)

Powers [src]

           3    
    -27 + x     
----------------
        2       
36 + 4*x  + 12*x

$$\frac{x^{3} - 27}{4 x^{2} + 12 x + 36}$$

(-27 + x^3)/(36 + 4*x^2 + 12*x)

Trigonometric part [src]

           3    
    -27 + x     
----------------
        2       
36 + 4*x  + 12*x

$$\frac{x^{3} - 27}{4 x^{2} + 12 x + 36}$$

(-27 + x^3)/(36 + 4*x^2 + 12*x)