Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
(x^3+2)/(x^3-4x)
(C^2-5c)/(c^2-25)
(x^(4)-45x^(2)+324)/(x^(2)+3x-18)
x^3/(x-2)
Factor polynomial:
x+9*x
x^8+x^6-92*x^4+9*x^2+81
x^8-x^6-4*x^2-16
x^8-x^6
Least common denominator:
tan(x/3)^2*(1+tan(x/3)^2)
tan(x/2)/(x^2+x-2)
tan(x^2)/(x*log(2))-x/(sqrt(x^2)*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x)/(2*tan(x)^2+2)+tan(x)-(3*x)/2
Factor squared:
y^2-9*y*t-5*t^2
-y^2+9*y*t+3*t^2
-y^2+9*y*b-b^2
-y^2-9*y-4
Identical expressions
(x^(four)-45x^(two)+ three hundred and twenty-four)/(x^(two)+3x- eighteen)
(x to the power of (4) minus 45x to the power of (2) plus 324) divide by (x to the power of (2) plus 3x minus 18)
(x to the power of (four) minus 45x to the power of (two) plus three hundred and twenty minus four) divide by (x to the power of (two) plus 3x minus eighteen)
(x(4)-45x(2)+324)/(x(2)+3x-18)
x4-45x2+324/x2+3x-18
x^4-45x^2+324/x^2+3x-18
(x^(4)-45x^(2)+324) divide by (x^(2)+3x-18)
Similar expressions
(x^(4)-45x^(2)-324)/(x^(2)+3x-18)
(x^(4)+45x^(2)+324)/(x^(2)+3x-18)
(x^(4)-45x^(2)+324)/(x^(2)-3x-18)
(x^(4)-45x^(2)+324)/(x^(2)+3x+18)

How do you (x^(4)-45x^(2)+324)/(x^(2)+3x-18) in partial fractions?

You have entered [src]

 4       2      
x  - 45*x  + 324
----------------
  2             
 x  + 3*x - 18

$$\frac{\left(x^{4} - 45 x^{2}\right) + 324}{\left(x^{2} + 3 x\right) - 18}$$

(x^4 - 45*x^2 + 324)/(x^2 + 3*x - 18)

Fraction decomposition [src]

-18 + x^2 - 3*x

$$x^{2} - 3 x - 18$$

       2      
-18 + x  - 3*x

General simplification [src]

       2      
-18 + x  - 3*x

$$x^{2} - 3 x - 18$$

-18 + x^2 - 3*x

Numerical answer [src]

(324.0 + x^4 - 45.0*x^2)/(-18.0 + x^2 + 3.0*x)

(324.0 + x^4 - 45.0*x^2)/(-18.0 + x^2 + 3.0*x)

Common denominator [src]

       2      
-18 + x  - 3*x

$$x^{2} - 3 x - 18$$

-18 + x^2 - 3*x

Rational denominator [src]

       4       2
324 + x  - 45*x 
----------------
        2       
 -18 + x  + 3*x

$$\frac{x^{4} - 45 x^{2} + 324}{x^{2} + 3 x - 18}$$

(324 + x^4 - 45*x^2)/(-18 + x^2 + 3*x)

Trigonometric part [src]

       4       2
324 + x  - 45*x 
----------------
        2       
 -18 + x  + 3*x

$$\frac{x^{4} - 45 x^{2} + 324}{x^{2} + 3 x - 18}$$

(324 + x^4 - 45*x^2)/(-18 + x^2 + 3*x)

Combinatorics [src]

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

$$\left(x - 6\right) \left(x + 3\right)$$

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

Powers [src]

       4       2
324 + x  - 45*x 
----------------
        2       
 -18 + x  + 3*x

$$\frac{x^{4} - 45 x^{2} + 324}{x^{2} + 3 x - 18}$$

(324 + x^4 - 45*x^2)/(-18 + x^2 + 3*x)

Combining rational expressions [src]

       2 /       2\
324 + x *\-45 + x /
-------------------
  -18 + x*(3 + x)

$$\frac{x^{2} \left(x^{2} - 45\right) + 324}{x \left(x + 3\right) - 18}$$

(324 + x^2*(-45 + x^2))/(-18 + x*(3 + x))

Assemble expression [src]

       4       2
324 + x  - 45*x 
----------------
        2       
 -18 + x  + 3*x

$$\frac{x^{4} - 45 x^{2} + 324}{x^{2} + 3 x - 18}$$

(324 + x^4 - 45*x^2)/(-18 + x^2 + 3*x)