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How do you in partial fractions?:
sqrt((49/50-x^2/(193/2)^2)*5041)
4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))
(2-i)^2-z/i+((4-i)*i^7)/(i-2)
1/(x^2+2x+1)
Factor polynomial:
y^3-2*y^2*z-4*y*z+8*z^2
y^3+2*y^2*x^2-2*x^3
y^3-1/27
y^3-100
Least common denominator:
x+x*(y/12/100)*z
(((x-x1)*(x-x2))/((x0-x1)*(x0-x2)))*y0+(((x-x0)*(x-x2))/((x1-x0)*(x1-x2)))*y1
(x/x-1+1)-x2/4*x2-1
(x/x+1+1)-x^2/4*x^2-1
Factor squared:
y^4-4*y^2-12
y^4+2*y^2+5
y^4+4*y^2+10
-y^4+3*y^2+6
Identical expressions
four -4s-(s^ two +s+ one)*(4s^ two - six)/((-s*(s^ two + two *s+ two)))
4 minus 4s minus (s squared plus s plus 1) multiply by (4s squared minus 6) divide by (( minus s multiply by (s squared plus 2 multiply by s plus 2)))
four minus 4s minus (s to the power of two plus s plus one) multiply by (4s to the power of two minus six) divide by (( minus s multiply by (s to the power of two plus two multiply by s plus two)))
4-4s-(s2+s+1)*(4s2-6)/((-s*(s2+2*s+2)))
4-4s-s2+s+1*4s2-6/-s*s2+2*s+2
4-4s-(s²+s+1)*(4s²-6)/((-s*(s²+2*s+2)))
4-4s-(s to the power of 2+s+1)*(4s to the power of 2-6)/((-s*(s to the power of 2+2*s+2)))
4-4s-(s^2+s+1)(4s^2-6)/((-s(s^2+2s+2)))
4-4s-(s2+s+1)(4s2-6)/((-s(s2+2s+2)))
4-4s-s2+s+14s2-6/-ss2+2s+2
4-4s-s^2+s+14s^2-6/-ss^2+2s+2
4-4s-(s^2+s+1)*(4s^2-6) divide by ((-s*(s^2+2*s+2)))
Similar expressions
4-4s+(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))
4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2-2*s+2)))
4+4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))
4-4s-(s^2+s+1)*(4s^2+6)/((-s*(s^2+2*s+2)))
4-4s-(s^2+s-1)*(4s^2-6)/((-s*(s^2+2*s+2)))
4-4s-(s^2+s+1)*(4s^2-6)/((s*(s^2+2*s+2)))
4-4s-(s^2-s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))
4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s-2)))

Expression simplification/ Fraction Decomposition into the simple/ 4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))

How do you 4-4s-(s^2+s+1)(4s^2-6)/((-s(s^2+2*s+2))) in partial fractions?

The solution

You have entered [src]

          / 2        \ /   2    \
          \s  + s + 1/*\4*s  - 6/
4 - 4*s - -----------------------
                / 2          \   
             -s*\s  + 2*s + 2/

$$\left(4 - 4 s\right) - \frac{\left(4 s^{2} - 6\right) \left(\left(s^{2} + s\right) + 1\right)}{- s \left(\left(s^{2} + 2 s\right) + 2\right)}$$

4 - 4*s - (s^2 + s + 1)*(4*s^2 - 6)/((-s)*(s^2 + 2*s + 2))

Fraction decomposition [src]

-3/s + (8 + s)/(2 + s^2 + 2*s)

$$\frac{s + 8}{s^{2} + 2 s + 2} - \frac{3}{s}$$

  3      8 + s    
- - + ------------
  s        2      
      2 + s  + 2*s

General simplification [src]

        2       
-6 - 2*s  + 2*s 
----------------
  /     2      \
s*\2 + s  + 2*s/

$$\frac{- 2 s^{2} + 2 s - 6}{s \left(s^{2} + 2 s + 2\right)}$$

(-6 - 2*s^2 + 2*s)/(s*(2 + s^2 + 2*s))

Numerical answer [src]

4.0 - 4.0*s + (-6.0 + 4.0*s^2)*(1.0 + s + s^2)/(s*(2.0 + s^2 + 2.0*s))

4.0 - 4.0*s + (-6.0 + 4.0*s^2)*(1.0 + s + s^2)/(s*(2.0 + s^2 + 2.0*s))

Rational denominator [src]

/        2\ /         2\               /     2      \
\-6 + 4*s /*\1 + s + s / + s*(4 - 4*s)*\2 + s  + 2*s/
-----------------------------------------------------
                     /     2      \                  
                   s*\2 + s  + 2*s/

$$\frac{s \left(4 - 4 s\right) \left(s^{2} + 2 s + 2\right) + \left(4 s^{2} - 6\right) \left(s^{2} + s + 1\right)}{s \left(s^{2} + 2 s + 2\right)}$$

((-6 + 4*s^2)*(1 + s + s^2) + s*(4 - 4*s)*(2 + s^2 + 2*s))/(s*(2 + s^2 + 2*s))

Expand expression [src]

          /   2    \ / 2        \
          \4*s  - 6/*\s  + s + 1/
4 - 4*s + -----------------------
                / 2          \   
              s*\s  + 2*s + 2/

$$- 4 s + 4 + \frac{\left(4 s^{2} - 6\right) \left(\left(s^{2} + s\right) + 1\right)}{s \left(\left(s^{2} + 2 s\right) + 2\right)}$$

4 - 4*s + (4*s^2 - 6)*(s^2 + s + 1)/(s*(s^2 + 2*s + 2))

Powers [src]

          /        2\ /         2\
          \-6 + 4*s /*\1 + s + s /
4 - 4*s + ------------------------
                /     2      \    
              s*\2 + s  + 2*s/

$$- 4 s + 4 + \frac{\left(4 s^{2} - 6\right) \left(s^{2} + s + 1\right)}{s \left(s^{2} + 2 s + 2\right)}$$

4 - 4*s + (-6 + 4*s^2)*(1 + s + s^2)/(s*(2 + s^2 + 2*s))

Trigonometric part [src]

          /        2\ /         2\
          \-6 + 4*s /*\1 + s + s /
4 - 4*s + ------------------------
                /     2      \    
              s*\2 + s  + 2*s/

$$- 4 s + 4 + \frac{\left(4 s^{2} - 6\right) \left(s^{2} + s + 1\right)}{s \left(s^{2} + 2 s + 2\right)}$$

4 - 4*s + (-6 + 4*s^2)*(1 + s + s^2)/(s*(2 + s^2 + 2*s))

Combining rational expressions [src]

  /                /        2\                              \
2*\(1 + s*(1 + s))*\-3 + 2*s / + 2*s*(1 - s)*(2 + s*(2 + s))/
-------------------------------------------------------------
                      s*(2 + s*(2 + s))

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

2*((1 + s*(1 + s))*(-3 + 2*s^2) + 2*s*(1 - s)*(2 + s*(2 + s)))/(s*(2 + s*(2 + s)))

Combinatorics [src]

   /     2    \ 
-2*\3 + s  - s/ 
----------------
  /     2      \
s*\2 + s  + 2*s/

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

-2*(3 + s^2 - s)/(s*(2 + s^2 + 2*s))

Common denominator [src]

 /             2\ 
-\6 - 2*s + 2*s / 
------------------
  3            2  
 s  + 2*s + 2*s

$$- \frac{2 s^{2} - 2 s + 6}{s^{3} + 2 s^{2} + 2 s}$$

-(6 - 2*s + 2*s^2)/(s^3 + 2*s + 2*s^2)

Assemble expression [src]

          /        2\ /         2\
          \-6 + 4*s /*\1 + s + s /
4 - 4*s + ------------------------
                /     2      \    
              s*\2 + s  + 2*s/

$$- 4 s + 4 + \frac{\left(4 s^{2} - 6\right) \left(s^{2} + s + 1\right)}{s \left(s^{2} + 2 s + 2\right)}$$

4 - 4*s + (-6 + 4*s^2)*(1 + s + s^2)/(s*(2 + s^2 + 2*s))

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Similar expressions

How do you 4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2))) in partial fractions?

The solution

How do you 4-4s-(s^2+s+1)(4s^2-6)/((-s(s^2+2*s+2))) in partial fractions?