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How do you in partial fractions?:
(u+1)^2/100-100*u^3/1-u^2/(10*u-10)^2
-2s-(s^2+s+1)*(2s^2+2s-2)/((-s*(s^2+2*s+2)))
1/(x^2+4*x+6)
((1/(x-1))-((x+1)/(x^2+x+1)))/(1+(1/(x^3-1)))
Factor polynomial:
x^3-24
x^3-12+x^2
x^3+2.5*x^2-x+1
x^3-12*x-16
Least common denominator:
(u+1)^2/100-100*u^3/1-u^2/(10*u-10)^2
((sin((pi/2)-a))*cos(a+pi))/(cot(pi+a))*tan((3*pi/2)-a)
(n^2-5*n)/(n^2-10*n+25)+25/n^2-25
cot(50*pi)/360+tan(10*pi)/360/1+cot(80*pi)/360*tan(140*pi)/360
Factor squared:
-x^4+4*x^2-11
-x^4+15*x^2+9
-x^4-3*x^2+3
x^4-14*x^2-8
Identical expressions
- two s-(s^ two +s+ one)*(two s^ two + two s- two)/((-s*(s^2+2*s+2)))
minus 2s minus (s squared plus s plus 1) multiply by (2s squared plus 2s minus 2) divide by (( minus s multiply by (s squared plus 2 multiply by s plus 2)))
minus two s minus (s to the power of two plus s plus one) multiply by (two s to the power of two plus two s minus two) divide by (( minus s multiply by (s squared plus 2 multiply by s plus 2)))
-2s-(s2+s+1)*(2s2+2s-2)/((-s*(s2+2*s+2)))
-2s-s2+s+1*2s2+2s-2/-s*s2+2*s+2
-2s-(s²+s+1)*(2s²+2s-2)/((-s*(s²+2*s+2)))
-2s-(s to the power of 2+s+1)*(2s to the power of 2+2s-2)/((-s*(s to the power of 2+2*s+2)))
-2s-(s^2+s+1)(2s^2+2s-2)/((-s(s^2+2s+2)))
-2s-(s2+s+1)(2s2+2s-2)/((-s(s2+2s+2)))
-2s-s2+s+12s2+2s-2/-ss2+2s+2
-2s-s^2+s+12s^2+2s-2/-ss^2+2s+2
-2s-(s^2+s+1)*(2s^2+2s-2) divide by ((-s*(s^2+2*s+2)))
Similar expressions
-2s-(s^2+s+1)*(2s^2+2s+2)/((-s*(s^2+2*s+2)))
-2s-(s^2+s+1)*(2s^2+2s-2)/((s*(s^2+2*s+2)))
-2s-(s^2+s+1)*(2s^2+2s-2)/((-s*(s^2-2*s+2)))
-2s-(s^2-s+1)*(2s^2+2s-2)/((-s*(s^2+2*s+2)))
-2s-(s^2+s+1)*(2s^2+2s-2)/((-s*(s^2+2*s-2)))
-2s+(s^2+s+1)*(2s^2+2s-2)/((-s*(s^2+2*s+2)))
-2s-(s^2+s-1)*(2s^2+2s-2)/((-s*(s^2+2*s+2)))
-2s-(s^2+s+1)*(2s^2-2s-2)/((-s*(s^2+2*s+2)))
2s-(s^2+s+1)*(2s^2+2s-2)/((-s*(s^2+2*s+2)))

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

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

The solution

You have entered [src]

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

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

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

Fraction decomposition [src]

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

$$- \frac{s - 2}{s^{2} + 2 s + 2} - \frac{1}{s}$$

  1      -2 + s   
- - - ------------
  s        2      
      2 + s  + 2*s

General simplification [src]

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

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

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

Numerical answer [src]

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

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

Combining rational expressions [src]

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

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

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

Combinatorics [src]

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

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

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

Powers [src]

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

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

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

Assemble expression [src]

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

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

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

Expand expression [src]

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

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

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

Common denominator [src]

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

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

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

Rational denominator [src]

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

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

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

Trigonometric part [src]

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

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

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

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

The solution

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