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How do you in partial fractions?:
3*x^2/(8-x^4)+4*x^6/(8-x^4)^2
(a^-2-a/a^-1-1)/(a^2+1)
((2*x+10)/(3*x))/(2*x^2+20*x+50*x)
(u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)
Factor polynomial:
m^2-a^2
y^5+y^3+y^2+1
u^2+2*u*v+v^2
x^7+x^5+1
Least common denominator:
cos(a)/2*sin(2)-1-sin(a)/2*cos(2)-1
x^2+25/x-5-10*x/x-5
(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x+1)
n*((1+p)^k+p^k*log(p)+(1+p)^k*(k+1)*log(1+p))/k-n*(p^k+(k+1)*(1+p)^k)/k^2
Factor squared:
2*p^4+p^2-2
x^2-9*x+5
-y^2-10*y*p-2*p^2
x^2-x-2
Identical expressions
three *x^ two /(eight -x^ four)+ four *x^ six /(eight -x^ four)^ two
3 multiply by x squared divide by (8 minus x to the power of 4) plus 4 multiply by x to the power of 6 divide by (8 minus x to the power of 4) squared
three multiply by x to the power of two divide by (eight minus x to the power of four) plus four multiply by x to the power of six divide by (eight minus x to the power of four) to the power of two
3*x2/(8-x4)+4*x6/(8-x4)2
3*x2/8-x4+4*x6/8-x42
3*x²/(8-x⁴)+4*x⁶/(8-x⁴)²
3*x to the power of 2/(8-x to the power of 4)+4*x to the power of 6/(8-x to the power of 4) to the power of 2
3x^2/(8-x^4)+4x^6/(8-x^4)^2
3x2/(8-x4)+4x6/(8-x4)2
3x2/8-x4+4x6/8-x42
3x^2/8-x^4+4x^6/8-x^4^2
3*x^2 divide by (8-x^4)+4*x^6 divide by (8-x^4)^2
Similar expressions
3*x^2/(8-x^4)+4*x^6/(8+x^4)^2
3*x^2/(8+x^4)+4*x^6/(8-x^4)^2
3*x^2/(8-x^4)-4*x^6/(8-x^4)^2

Expression simplification/ Fraction Decomposition into the simple/ 3*x^2/(8-x^4)+4*x^6/(8-x^4)^2

How do you 3x^2/(8-x^4)+4x^6/(8-x^4)^2 in partial fractions?

The solution

You have entered [src]

    2          6  
 3*x        4*x   
------ + ---------
     4           2
8 - x    /     4\ 
         \8 - x /

$$\frac{3 x^{2}}{8 - x^{4}} + \frac{4 x^{6}}{\left(8 - x^{4}\right)^{2}}$$

(3*x^2)/(8 - x^4) + (4*x^6)/(8 - x^4)^2

General simplification [src]

 2 /      4\
x *\24 + x /
------------
          2 
 /      4\  
 \-8 + x /

$$\frac{x^{2} \left(x^{4} + 24\right)}{\left(x^{4} - 8\right)^{2}}$$

x^2*(24 + x^4)/(-8 + x^4)^2

Fraction decomposition [src]

x^2/(-8 + x^4) + 32*x^2/(-8 + x^4)^2

$$\frac{x^{2}}{x^{4} - 8} + \frac{32 x^{2}}{\left(x^{4} - 8\right)^{2}}$$

    2           2   
   x        32*x    
------- + ----------
      4            2
-8 + x    /      4\ 
          \-8 + x /

Numerical answer [src]

0.0625*x^6/(1 - 0.125*x^4)^2 + 3.0*x^2/(8.0 - x^4)

0.0625*x^6/(1 - 0.125*x^4)^2 + 3.0*x^2/(8.0 - x^4)

Rational denominator [src]

             2                
   2 /     4\       6 /     4\
3*x *\8 - x /  + 4*x *\8 - x /
------------------------------
                  3           
          /     4\            
          \8 - x /

$$\frac{4 x^{6} \left(8 - x^{4}\right) + 3 x^{2} \left(8 - x^{4}\right)^{2}}{\left(8 - x^{4}\right)^{3}}$$

(3*x^2*(8 - x^4)^2 + 4*x^6*(8 - x^4))/(8 - x^4)^3

Assemble expression [src]

    2          6  
 3*x        4*x   
------ + ---------
     4           2
8 - x    /     4\ 
         \8 - x /

$$\frac{4 x^{6}}{\left(8 - x^{4}\right)^{2}} + \frac{3 x^{2}}{8 - x^{4}}$$

3*x^2/(8 - x^4) + 4*x^6/(8 - x^4)^2

Powers [src]

    2          6  
 3*x        4*x   
------ + ---------
     4           2
8 - x    /     4\ 
         \8 - x /

$$\frac{4 x^{6}}{\left(8 - x^{4}\right)^{2}} + \frac{3 x^{2}}{8 - x^{4}}$$

3*x^2/(8 - x^4) + 4*x^6/(8 - x^4)^2

Common denominator [src]

    6       2  
   x  + 24*x   
---------------
      8       4
64 + x  - 16*x

$$\frac{x^{6} + 24 x^{2}}{x^{8} - 16 x^{4} + 64}$$

(x^6 + 24*x^2)/(64 + x^8 - 16*x^4)

Trigonometric part [src]

    2          6  
 3*x        4*x   
------ + ---------
     4           2
8 - x    /     4\ 
         \8 - x /

$$\frac{4 x^{6}}{\left(8 - x^{4}\right)^{2}} + \frac{3 x^{2}}{8 - x^{4}}$$

3*x^2/(8 - x^4) + 4*x^6/(8 - x^4)^2

Combinatorics [src]

 2 /      4\
x *\24 + x /
------------
          2 
 /      4\  
 \-8 + x /

$$\frac{x^{2} \left(x^{4} + 24\right)}{\left(x^{4} - 8\right)^{2}}$$

x^2*(24 + x^4)/(-8 + x^4)^2

Combining rational expressions [src]

 2 /      4\
x *\24 + x /
------------
         2  
 /     4\   
 \8 - x /

$$\frac{x^{2} \left(x^{4} + 24\right)}{\left(8 - x^{4}\right)^{2}}$$

x^2*(24 + x^4)/(8 - x^4)^2

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How do you 3*x^2/(8-x^4)+4*x^6/(8-x^4)^2 in partial fractions?

The solution

How do you 3x^2/(8-x^4)+4x^6/(8-x^4)^2 in partial fractions?