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How do you in partial fractions?:
-(900-x^2)/(x^2+900)^2
(x*1.06)/(1+x*1.06)
cbrt((b^(1/2))/(sqrt(27*b^3))*(1/(b^-2))^(1/8))
(1+x)/(4-x^2)
Factor polynomial:
z^2-4*z+8
z^2+20*z+100
z^10*g^20-1
y*x^2+x*z^2+z*y^2-y*z^2-x*y^2-z*x^2
Least common denominator:
x+x*(y/1200)+x*(y/1200)*(y/1200)+x*(y/1200)*(y/1200)*(y/1200)
(x+x^3/3)*log(x)-(x^3+9*x)/9
(x+3/(6*x-30))*(450/(x^2+3*x))
((x^3+6*x^2+11*x+6)/(-6))+((-x^3-9*x^2-26*x-24)/6)
Factor squared:
y^4-7*y^2+5
y^4+6*y^2+4
-y^4+6*y^2-4
y^4+6*y^2+1
Identical expressions
cbrt((b^(one / two))/(sqrt(twenty-seven *b^ three))*(one /(b^- two))^(one / eight))
cubic root of ((b to the power of (1 divide by 2)) divide by ( square root of (27 multiply by b cubed )) multiply by (1 divide by (b to the power of minus 2)) to the power of (1 divide by 8))
cubic root of ((b to the power of (one divide by two)) divide by ( square root of (twenty minus seven multiply by b to the power of three)) multiply by (one divide by (b to the power of minus two)) to the power of (one divide by eight))
cbrt((b^(1/2))/(√(27*b^3))*(1/(b^-2))^(1/8))
cbrt((b(1/2))/(sqrt(27*b3))*(1/(b-2))(1/8))
cbrtb1/2/sqrt27*b3*1/b-21/8
cbrt((b^(1/2))/(sqrt(27*b³))*(1/(b^-2))^(1/8))
cbrt((b to the power of (1/2))/(sqrt(27*b to the power of 3))*(1/(b to the power of -2)) to the power of (1/8))
cbrt((b^(1/2))/(sqrt(27b^3))(1/(b^-2))^(1/8))
cbrt((b(1/2))/(sqrt(27b3))(1/(b-2))(1/8))
cbrtb1/2/sqrt27b31/b-21/8
cbrtb^1/2/sqrt27b^31/b^-2^1/8
cbrt((b^(1 divide by 2)) divide by (sqrt(27*b^3))*(1 divide by (b^-2))^(1 divide by 8))
Similar expressions
cbrt((b^(1/2))/(sqrt(27*b^3))*(1/(b^+2))^(1/8))

Expression simplification/ Fraction Decomposition into the simple/ cbrt((b^(1/2))/(sqrt(27*b^3))*(1/(b^-2))^(1/8))

How do you cbrt((b^(1/2))/(sqrt(27b^3))(1/(b^-2))^(1/8)) in partial fractions?

The solution

You have entered [src]

        __________________________
       /     ___           ______ 
      /    \/ b           /  1    
     /   ----------*     /  ----  
    /       _______     /   /1 \  
   /       /     3     /    |--|  
3 /      \/  27*b   8 /     | 2|  
\/                  \/      \b /

$$\sqrt[3]{\frac{\sqrt{b}}{\sqrt{27 b^{3}}} \sqrt[8]{\frac{1}{\frac{1}{b^{2}}}}}$$

((sqrt(b)/sqrt(27*b^3))*(1/(b^(-2)))^(1/8))^(1/3)

Fraction decomposition [src]

sqrt(3)*(sqrt(b)*(b^2)^(1/8)/sqrt(b^3))^(1/3)/3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{b^{2}}}{\sqrt{b^{3}}}}}{3}$$

              _______________
             /          ____ 
            /    ___ 8 /  2  
  ___      /   \/ b *\/  b   
\/ 3 *    /    ------------- 
         /           ____    
      3 /           /  3     
      \/          \/  b      
-----------------------------
              3

General simplification [src]

              _______________
             /          ____ 
            /    ___ 8 /  2  
  ___      /   \/ b *\/  b   
\/ 3 *    /    ------------- 
         /           ____    
      3 /           /  3     
      \/          \/  b      
-----------------------------
              3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{b^{2}}}{\sqrt{b^{3}}}}}{3}$$

sqrt(3)*(sqrt(b)*(b^2)^(1/8)/sqrt(b^3))^(1/3)/3

Numerical answer [src]

0.577350269189626*(b^0.5*(b^2)^0.125*(b^3)^(-0.5))^0.333333333333333

0.577350269189626*(b^0.5*(b^2)^0.125*(b^3)^(-0.5))^0.333333333333333

Trigonometric part [src]

              _______________
             /          ____ 
            /    ___ 8 /  2  
  ___      /   \/ b *\/  b   
\/ 3 *    /    ------------- 
         /           ____    
      3 /           /  3     
      \/          \/  b      
-----------------------------
              3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{b^{2}}}{\sqrt{b^{3}}}}}{3}$$

sqrt(3)*(sqrt(b)*(b^2)^(1/8)/sqrt(b^3))^(1/3)/3

Combinatorics [src]

              _______________
             /          ____ 
            /    ___ 8 /  2  
  ___      /   \/ b *\/  b   
\/ 3 *    /    ------------- 
         /           ____    
      3 /           /  3     
      \/          \/  b      
-----------------------------
              3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{b^{2}}}{\sqrt{b^{3}}}}}{3}$$

sqrt(3)*(sqrt(b)*(b^2)^(1/8)/sqrt(b^3))^(1/3)/3

Expand expression [src]

                  _____________________
                 /              ______ 
                /    ___       /  1    
               /   \/ b *     /  ----  
              /              /   /1 \  
             /              /    |--|  
            /            8 /     | 2|  
  ___      /             \/      \b /  
\/ 3 *    /        ------------------- 
         /                  ____       
      3 /                  /  3        
      \/                 \/  b         
---------------------------------------
                   3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{\frac{1}{\frac{1}{b^{2}}}}}{\sqrt{b^{3}}}}}{3}$$

sqrt(3)*(sqrt(b)*(1/(b^(-2)))^(1/8)/sqrt(b^3))^(1/3)/3

Rational denominator [src]

             _________________
            /    ____    ____ 
           /  8 /  2    /  3  
  ___     /   \/  b  *\/  b   
\/ 3 *   /    --------------- 
      3 /            5/2      
      \/            b         
------------------------------
              3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt[8]{b^{2}} \sqrt{b^{3}}}{b^{\frac{5}{2}}}}}{3}$$

sqrt(3)*((b^2)^(1/8)*sqrt(b^3)/b^(5/2))^(1/3)/3

Combining rational expressions [src]

              _______________
             /          ____ 
            /    ___ 8 /  2  
  ___      /   \/ b *\/  b   
\/ 3 *    /    ------------- 
         /           ____    
      3 /           /  3     
      \/          \/  b      
-----------------------------
              3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{b^{2}}}{\sqrt{b^{3}}}}}{3}$$

sqrt(3)*(sqrt(b)*(b^2)^(1/8)/sqrt(b^3))^(1/3)/3

Powers [src]

              _______________
             /          ____ 
            /    ___ 8 /  2  
  ___      /   \/ b *\/  b   
\/ 3 *    /    ------------- 
         /           ____    
      3 /           /  3     
      \/          \/  b      
-----------------------------
              3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{b^{2}}}{\sqrt{b^{3}}}}}{3}$$

sqrt(3)*(sqrt(b)*(b^2)^(1/8)/sqrt(b^3))^(1/3)/3

Assemble expression [src]

              _______________
             /          ____ 
            /    ___ 8 /  2  
  ___      /   \/ b *\/  b   
\/ 3 *    /    ------------- 
         /           ____    
      3 /           /  3     
      \/          \/  b      
-----------------------------
              3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{b^{2}}}{\sqrt{b^{3}}}}}{3}$$

sqrt(3)*(sqrt(b)*(b^2)^(1/8)/sqrt(b^3))^(1/3)/3

Common denominator [src]

              _______________
             /          ____ 
            /    ___ 8 /  2  
  ___      /   \/ b *\/  b   
\/ 3 *    /    ------------- 
         /           ____    
      3 /           /  3     
      \/          \/  b      
-----------------------------
              3

$$\frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{b} \sqrt[8]{b^{2}}}{\sqrt{b^{3}}}}}{3}$$

sqrt(3)*(sqrt(b)*(b^2)^(1/8)/sqrt(b^3))^(1/3)/3

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How to use it?

Identical expressions

Similar expressions

How do you cbrt((b^(1/2))/(sqrt(27*b^3))*(1/(b^-2))^(1/8)) in partial fractions?

The solution

How do you cbrt((b^(1/2))/(sqrt(27b^3))(1/(b^-2))^(1/8)) in partial fractions?