Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
x^3*y^12/(x*y^4)^3
2*a*(3*a-p)/(2*p-6*a)
y/(y+3)+y/3+2/y
y/(y-3)+3/(3-y)
Factor polynomial:
x^2+x^2
c^2+c^2
x^2-x-y^2-y
c^2-9
Least common denominator:
((z*(a+w))/2)+((w*(a-z))/2)+((a-z)*a)
z-8/z^2/3*z^(1/3)+4
(z-6*z/z+3)/z-3/z+3
(z^5-5*z^3+10*z-10/z+5/z^3-1/z^5)*(z^3-3*z+3/z-1/z^3)
Factor squared:
y^4+9*y^2+2
-y^4-9*y^2+15
-y^4+8*y^2-4
y^4+8*y^2-4
Identical expressions
(x^ two - twenty-five)/(x^ two + three *x- forty)
(x squared minus 25) divide by (x squared plus 3 multiply by x minus 40)
(x to the power of two minus twenty minus five) divide by (x to the power of two plus three multiply by x minus forty)
(x2-25)/(x2+3*x-40)
x2-25/x2+3*x-40
(x²-25)/(x²+3*x-40)
(x to the power of 2-25)/(x to the power of 2+3*x-40)
(x^2-25)/(x^2+3x-40)
(x2-25)/(x2+3x-40)
x2-25/x2+3x-40
x^2-25/x^2+3x-40
(x^2-25) divide by (x^2+3*x-40)
Similar expressions
(x^2-25)/(x^2+3*x+40)
(x^2-25)/(x^2-3*x-40)
(x^2+25)/(x^2+3*x-40)

How do you (x^2-25)/(x^2+3*x-40) in partial fractions?

You have entered [src]

    2        
   x  - 25   
-------------
 2           
x  + 3*x - 40

$$\frac{x^{2} - 25}{\left(x^{2} + 3 x\right) - 40}$$

(x^2 - 25)/(x^2 + 3*x - 40)

Fraction decomposition [src]

1 - 3/(8 + x)

$$1 - \frac{3}{x + 8}$$

      3  
1 - -----
    8 + x

General simplification [src]

5 + x
-----
8 + x

$$\frac{x + 5}{x + 8}$$

(5 + x)/(8 + x)

Rational denominator [src]

          2   
   -25 + x    
--------------
       2      
-40 + x  + 3*x

$$\frac{x^{2} - 25}{x^{2} + 3 x - 40}$$

(-25 + x^2)/(-40 + x^2 + 3*x)

Assemble expression [src]

          2   
   -25 + x    
--------------
       2      
-40 + x  + 3*x

$$\frac{x^{2} - 25}{x^{2} + 3 x - 40}$$

(-25 + x^2)/(-40 + x^2 + 3*x)

Common denominator [src]

      3  
1 - -----
    8 + x

$$1 - \frac{3}{x + 8}$$

1 - 3/(8 + x)

Trigonometric part [src]

          2   
   -25 + x    
--------------
       2      
-40 + x  + 3*x

$$\frac{x^{2} - 25}{x^{2} + 3 x - 40}$$

(-25 + x^2)/(-40 + x^2 + 3*x)

Combinatorics [src]

5 + x
-----
8 + x

$$\frac{x + 5}{x + 8}$$

(5 + x)/(8 + x)

Combining rational expressions [src]

           2   
    -25 + x    
---------------
-40 + x*(3 + x)

$$\frac{x^{2} - 25}{x \left(x + 3\right) - 40}$$

(-25 + x^2)/(-40 + x*(3 + x))

Powers [src]

          2   
   -25 + x    
--------------
       2      
-40 + x  + 3*x

$$\frac{x^{2} - 25}{x^{2} + 3 x - 40}$$

(-25 + x^2)/(-40 + x^2 + 3*x)

Numerical answer [src]

(-25.0 + x^2)/(-40.0 + x^2 + 3.0*x)

(-25.0 + x^2)/(-40.0 + x^2 + 3.0*x)