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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^4+3)*(-(x^3*(x^4-3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4-3)
Identical expressions
((x^ four + three)*(-(x^ three *(x^ four - three))/((x^ four + three)^ two)+x^ three /(x^ four + three)))/(x^ four - three)
((x to the power of 4 plus 3) multiply by ( minus (x cubed multiply by (x to the power of 4 minus 3)) divide by ((x to the power of 4 plus 3) squared ) plus x cubed divide by (x to the power of 4 plus 3))) divide by (x to the power of 4 minus 3)
((x to the power of four plus three) multiply by ( minus (x to the power of three multiply by (x to the power of four minus three)) divide by ((x to the power of four plus three) to the power of two) plus x to the power of three divide by (x to the power of four plus three))) divide by (x to the power of four minus three)
((x4+3)*(-(x3*(x4-3))/((x4+3)2)+x3/(x4+3)))/(x4-3)
x4+3*-x3*x4-3/x4+32+x3/x4+3/x4-3
((x⁴+3)*(-(x³*(x⁴-3))/((x⁴+3)²)+x³/(x⁴+3)))/(x⁴-3)
((x to the power of 4+3)*(-(x to the power of 3*(x to the power of 4-3))/((x to the power of 4+3) to the power of 2)+x to the power of 3/(x to the power of 4+3)))/(x to the power of 4-3)
((x^4+3)(-(x^3(x^4-3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4-3)
((x4+3)(-(x3(x4-3))/((x4+3)2)+x3/(x4+3)))/(x4-3)
x4+3-x3x4-3/x4+32+x3/x4+3/x4-3
x^4+3-x^3x^4-3/x^4+3^2+x^3/x^4+3/x^4-3
((x^4+3)*(-(x^3*(x^4-3)) divide by ((x^4+3)^2)+x^3 divide by (x^4+3))) divide by (x^4-3)
Similar expressions
((x^4+3)*(-(x^3*(x^4-3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4+3)
((x^4-3)*(-(x^3*(x^4-3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4-3)
((x^4+3)*(-(x^3*(x^4+3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4-3)
((x^4+3)*(-(x^3*(x^4-3))/((x^4-3)^2)+x^3/(x^4+3)))/(x^4-3)
((x^4+3)*(-(x^3*(x^4-3))/((x^4+3)^2)+x^3/(x^4-3)))/(x^4-3)
((x^4+3)*(-(x^3*(x^4-3))/((x^4+3)^2)-x^3/(x^4+3)))/(x^4-3)
((x^4+3)*((x^3*(x^4-3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4-3)

Expression simplification/ Fraction Decomposition into the simple/ ((x^4+3)*(-(x^3*(x^4-3))/((x^4+3)^2)+x^3/(x^4+3)))/(x^4-3)

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

The solution

You have entered [src]

         /  3 / 4    \       3  \
/ 4    \ |-x *\x  - 3/      x   |
\x  + 3/*|------------- + ------|
         |          2      4    |
         |  / 4    \      x  + 3|
         \  \x  + 3/            /
---------------------------------
               4                 
              x  - 3

$$\frac{\left(x^{4} + 3\right) \left(\frac{x^{3}}{x^{4} + 3} + \frac{\left(-1\right) x^{3} \left(x^{4} - 3\right)}{\left(x^{4} + 3\right)^{2}}\right)}{x^{4} - 3}$$

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

General simplification [src]

     3 
  6*x  
-------
      8
-9 + x

$$\frac{6 x^{3}}{x^{8} - 9}$$

6*x^3/(-9 + x^8)

Fraction decomposition [src]

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

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

    3        3  
   x        x   
------- - ------
      4        4
-3 + x    3 + x

Rational denominator [src]

           2                        
 3 /     4\     3 /      4\ /     4\
x *\3 + x /  - x *\-3 + x /*\3 + x /
------------------------------------
                          2         
        /      4\ /     4\          
        \-3 + x /*\3 + x /

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

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

Numerical answer [src]

(3.0 + x^4)*(x^3/(3.0 + x^4) - 0.111111111111111*x^3*(-3.0 + x^4)/(1 + 0.333333333333333*x^4)^2)/(-3.0 + x^4)

(3.0 + x^4)*(x^3/(3.0 + x^4) - 0.111111111111111*x^3*(-3.0 + x^4)/(1 + 0.333333333333333*x^4)^2)/(-3.0 + x^4)

Assemble expression [src]

         /   3      3 /      4\\
/     4\ |  x      x *\-3 + x /|
\3 + x /*|------ - ------------|
         |     4            2  |
         |3 + x     /     4\   |
         \          \3 + x /   /
--------------------------------
                  4             
            -3 + x

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

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

Trigonometric part [src]

         /   3      3 /      4\\
/     4\ |  x      x *\-3 + x /|
\3 + x /*|------ - ------------|
         |     4            2  |
         |3 + x     /     4\   |
         \          \3 + x /   /
--------------------------------
                  4             
            -3 + x

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

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

Combinatorics [src]

          3       
       6*x        
------------------
/      4\ /     4\
\-3 + x /*\3 + x /

$$\frac{6 x^{3}}{\left(x^{4} - 3\right) \left(x^{4} + 3\right)}$$

6*x^3/((-3 + x^4)*(3 + x^4))

Powers [src]

         /   3      3 /     4\\
/     4\ |  x      x *\3 - x /|
\3 + x /*|------ + -----------|
         |     4            2 |
         |3 + x     /     4\  |
         \          \3 + x /  /
-------------------------------
                  4            
            -3 + x

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

         /   3      3 /      4\\
/     4\ |  x      x *\-3 + x /|
\3 + x /*|------ - ------------|
         |     4            2  |
         |3 + x     /     4\   |
         \          \3 + x /   /
--------------------------------
                  4             
            -3 + x

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

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

Combining rational expressions [src]

          3       
       6*x        
------------------
/      4\ /     4\
\-3 + x /*\3 + x /

$$\frac{6 x^{3}}{\left(x^{4} - 3\right) \left(x^{4} + 3\right)}$$

6*x^3/((-3 + x^4)*(3 + x^4))

Common denominator [src]

     3 
  6*x  
-------
      8
-9 + x

$$\frac{6 x^{3}}{x^{8} - 9}$$

6*x^3/(-9 + x^8)

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Identical expressions

Similar expressions

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

The solution

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