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How do you in partial fractions?:
(-3*x^2+2*x+1)/(x-1)
1-n/25-9n^2-3n/(3n-5)^2
(x+8)/x^2+16*x+64/(x-8)
((x^4+3)*(-(x^3*(x^4-3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4-3)
Factor polynomial:
x^4+y^4+z^4
x^4+y^4+y^4
x^4+y^4+x^4
x^4+y^4+2*x^2*y^2-6*x-36*y^2+25
Least common denominator:
(((x+9)/(x+7))^-1)*((x+7)/((x^2)+81-18*x)+(x+5)/((x^2)-81))*((x+3)/(x-9))^-2
((x+1)^2/(x-1)^2)*(x-1)*(2/(x-1)-2*(x+1)/(x-1)^2)/(x+1)
tan((x-pi)/4)-tan((x+pi)/4)
sqrt(13-x^2)*sqrt(1-1/2+x/4)/4-sqrt(1-13/16+x^2/16)*sqrt(2-x)/2
Factor squared:
y^2+2*y*b+7*b^2
-y^2-2*y*t-4*t^2
-y^2-2*y*p-2*p^2
-y^2+2*y+7
Least common denominator:
x^3/(x^2-64)-x/(x-8)+2/(x+8)
Identical expressions
x^ three /(x^ two - sixty-four)-x/(x- eight)+ two /(x+ eight)
x cubed divide by (x squared minus 64) minus x divide by (x minus 8) plus 2 divide by (x plus 8)
x to the power of three divide by (x to the power of two minus sixty minus four) minus x divide by (x minus eight) plus two divide by (x plus eight)
x3/(x2-64)-x/(x-8)+2/(x+8)
x3/x2-64-x/x-8+2/x+8
x³/(x²-64)-x/(x-8)+2/(x+8)
x to the power of 3/(x to the power of 2-64)-x/(x-8)+2/(x+8)
x^3/x^2-64-x/x-8+2/x+8
x^3 divide by (x^2-64)-x divide by (x-8)+2 divide by (x+8)
Similar expressions
x^3/(x^2+64)-x/(x-8)+2/(x+8)
x^3/(x^2-64)-x/(x+8)+2/(x+8)
x^3/(x^2-64)-x/(x-8)-2/(x+8)
x^3/(x^2-64)+x/(x-8)+2/(x+8)
x^3/(x^2-64)-x/(x-8)+2/(x-8)

Expression simplification/ Fraction Decomposition into the simple/ x^3/(x^2-64)-x/(x-8)+2/(x+8)

How do you x^3/(x^2-64)-x/(x-8)+2/(x+8) in partial fractions?

The solution

You have entered [src]

    3                  
   x        x       2  
------- - ----- + -----
 2        x - 8   x + 8
x  - 64

$$\left(\frac{x^{3}}{x^{2} - 64} - \frac{x}{x - 8}\right) + \frac{2}{x + 8}$$

x^3/(x^2 - 64) - x/(x - 8) + 2/(x + 8)

General simplification [src]

       3    2      
-16 + x  - x  - 6*x
-------------------
             2     
      -64 + x

$$\frac{x^{3} - x^{2} - 6 x - 16}{x^{2} - 64}$$

(-16 + x^3 - x^2 - 6*x)/(-64 + x^2)

Fraction decomposition [src]

-1 + x + 24/(-8 + x) + 34/(8 + x)

$$x - 1 + \frac{34}{x + 8} + \frac{24}{x - 8}$$

           24       34 
-1 + x + ------ + -----
         -8 + x   8 + x

Numerical answer [src]

2.0/(8.0 + x) + x^3/(-64.0 + x^2) - x/(-8.0 + x)

2.0/(8.0 + x) + x^3/(-64.0 + x^2) - x/(-8.0 + x)

Common denominator [src]

         -80 + 58*x
-1 + x + ----------
                 2 
          -64 + x

$$x + \frac{58 x - 80}{x^{2} - 64} - 1$$

-1 + x + (-80 + 58*x)/(-64 + x^2)

Trigonometric part [src]

            3            
  2        x         x   
----- + -------- - ------
8 + x          2   -8 + x
        -64 + x

$$\frac{x^{3}}{x^{2} - 64} - \frac{x}{x - 8} + \frac{2}{x + 8}$$

2/(8 + x) + x^3/(-64 + x^2) - x/(-8 + x)

Combinatorics [src]

       3    2      
-16 + x  - x  - 6*x
-------------------
  (-8 + x)*(8 + x)

$$\frac{x^{3} - x^{2} - 6 x - 16}{\left(x - 8\right) \left(x + 8\right)}$$

(-16 + x^3 - x^2 - 6*x)/((-8 + x)*(8 + x))

Rational denominator [src]

        / 3              /       2\\     /       2\         
(8 + x)*\x *(-8 + x) - x*\-64 + x // + 2*\-64 + x /*(-8 + x)
------------------------------------------------------------
                /       2\                                  
                \-64 + x /*(-8 + x)*(8 + x)

$$\frac{2 \left(x - 8\right) \left(x^{2} - 64\right) + \left(x + 8\right) \left(x^{3} \left(x - 8\right) - x \left(x^{2} - 64\right)\right)}{\left(x - 8\right) \left(x + 8\right) \left(x^{2} - 64\right)}$$

((8 + x)*(x^3*(-8 + x) - x*(-64 + x^2)) + 2*(-64 + x^2)*(-8 + x))/((-64 + x^2)*(-8 + x)*(8 + x))

Combining rational expressions [src]

  /       2\                      /      2    2         \
2*\-64 + x /*(-8 + x) + x*(8 + x)*\64 - x  + x *(-8 + x)/
---------------------------------------------------------
               /       2\                                
               \-64 + x /*(-8 + x)*(8 + x)

$$\frac{x \left(x + 8\right) \left(x^{2} \left(x - 8\right) - x^{2} + 64\right) + 2 \left(x - 8\right) \left(x^{2} - 64\right)}{\left(x - 8\right) \left(x + 8\right) \left(x^{2} - 64\right)}$$

(2*(-64 + x^2)*(-8 + x) + x*(8 + x)*(64 - x^2 + x^2*(-8 + x)))/((-64 + x^2)*(-8 + x)*(8 + x))

Powers [src]

            3            
  2        x         x   
----- + -------- - ------
8 + x          2   -8 + x
        -64 + x

$$\frac{x^{3}}{x^{2} - 64} - \frac{x}{x - 8} + \frac{2}{x + 8}$$

2/(8 + x) + x^3/(-64 + x^2) - x/(-8 + x)

Assemble expression [src]

            3            
  2        x         x   
----- + -------- - ------
8 + x          2   -8 + x
        -64 + x

$$\frac{x^{3}}{x^{2} - 64} - \frac{x}{x - 8} + \frac{2}{x + 8}$$

2/(8 + x) + x^3/(-64 + x^2) - x/(-8 + x)

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How do you x^3/(x^2-64)-x/(x-8)+2/(x+8) in partial fractions?

The solution