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How do you in partial fractions?:
2/x+(3*x-2)/(x+1)
((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)
(a^-2-a/a^-1-1)/(a^2+1)
(1/(s+1))*(1/(s-1))
Factor polynomial:
x^2-81
z^2-20*z+104
x^5+x^7
x1*x2+x1^2*x3^2+x2*x3
Least common denominator:
sin(k*x+x/2)/2*sin(x/2)+cos(k*x+x)
(z^5-5*z^3+10*z-1/10*z+1/5*z^3-1/z^5)*(z^3-3*z+1/3*z-1/z^3)
(x/sqrt(x^2-8))-(7*x/(x^2-8+7*(sqrt(x^2-8))))
sin(2*pi+x)+((3*pi)/2-x)+cos(x+pi/2)
Factor squared:
-y^4-y^2+8
-y^2-4*y-3
x^2-x*a+4*a^2
3*x^2+5*x-3
Identical expressions
((six *p/(two *p- five))* four)/(one +((six *p/(two *p- five))/p)+(six *p/(two *p- five))* four *((- five)/p))*(two - seven / four *p)/(one - seven / four *p* six)
((6 multiply by p divide by (2 multiply by p minus 5)) multiply by 4) divide by (1 plus ((6 multiply by p divide by (2 multiply by p minus 5)) divide by p) plus (6 multiply by p divide by (2 multiply by p minus 5)) multiply by 4 multiply by (( minus 5) divide by p)) multiply by (2 minus 7 divide by 4 multiply by p) divide by (1 minus 7 divide by 4 multiply by p multiply by 6)
((six multiply by p divide by (two multiply by p minus five)) multiply by four) divide by (one plus ((six multiply by p divide by (two multiply by p minus five)) divide by p) plus (six multiply by p divide by (two multiply by p minus five)) multiply by four multiply by (( minus five) divide by p)) multiply by (two minus seven divide by four multiply by p) divide by (one minus seven divide by four multiply by p multiply by six)
((6p/(2p-5))4)/(1+((6p/(2p-5))/p)+(6p/(2p-5))4((-5)/p))(2-7/4p)/(1-7/4p6)
6p/2p-54/1+6p/2p-5/p+6p/2p-54-5/p2-7/4p/1-7/4p6
((6*p divide by (2*p-5))*4) divide by (1+((6*p divide by (2*p-5)) divide by p)+(6*p divide by (2*p-5))*4*((-5) divide by p))*(2-7 divide by 4*p) divide by (1-7 divide by 4*p*6)
Similar expressions
(6*p/(2*p-5)*4)/(1+6*p/(2*p-5)/p+6*p/(2*p-5)*4*(-5)/p)*(2-7/4*p)/(1-7/4*p*6)
((6*p/(2*p-5))*4)/(1+((6*p/(2*p+5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)
((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2+7/4*p)/(1-7/4*p*6)
((6*p/(2*p-5))*4)/(1-((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)
((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p+5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)
((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1+7/4*p*6)
((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)-(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)
((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((5)/p))*(2-7/4*p)/(1-7/4*p*6)
((6*p/(2*p+5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)

Expression simplification/ Fraction Decomposition into the simple/ ((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6)

How do you ((6p/(2p-5))4)/(1+((6p/(2p-5))/p)+(6p/(2p-5))4*((-5)/p))(2-7/4p)/(1-7/4p6) in partial fractions?

The solution

You have entered [src]

            6*p                        
          -------*4                    
          2*p - 5             /    7*p\
-----------------------------*|2 - ---|
    /  6*p  \                 \     4 /
    |-------|                          
    \2*p - 5/     6*p     -5           
1 + --------- + -------*4*---          
        p       2*p - 5    p           
---------------------------------------
                   7*p                 
               1 - ---*6               
                    4

$$\frac{\frac{4 \frac{6 p}{2 p - 5}}{- \frac{5}{p} 4 \frac{6 p}{2 p - 5} + \left(1 + \frac{6 p \frac{1}{2 p - 5}}{p}\right)} \left(2 - \frac{7 p}{4}\right)}{- 6 \frac{7 p}{4} + 1}$$

(((((6*p)/(2*p - 5))*4)/(1 + ((6*p)/(2*p - 5))/p + (((6*p)/(2*p - 5))*4)*(-5/p)))*(2 - 7*p/4))/(1 - 7*p/4*6)

Fraction decomposition [src]

2 + 176/(2495*(-2 + 21*p)) + 583338/(2495*(-119 + 2*p))

$$2 + \frac{176}{2495 \left(21 p - 2\right)} + \frac{583338}{2495 \left(2 p - 119\right)}$$

          176                583338     
2 + ---------------- + -----------------
    2495*(-2 + 21*p)   2495*(-119 + 2*p)

General simplification [src]

    12*p*(-8 + 7*p)     
------------------------
(-119 + 2*p)*(-2 + 21*p)

$$\frac{12 p \left(7 p - 8\right)}{\left(2 p - 119\right) \left(21 p - 2\right)}$$

12*p*(-8 + 7*p)/((-119 + 2*p)*(-2 + 21*p))

Numerical answer [src]

24.0*p*(2.0 - 1.75*p)/((1.0 - 10.5*p)*(1.0 - 114.0/(-5.0 + 2.0*p))*(-5.0 + 2.0*p))

24.0*p*(2.0 - 1.75*p)/((1.0 - 10.5*p)*(1.0 - 114.0/(-5.0 + 2.0*p))*(-5.0 + 2.0*p))

Assemble expression [src]

                /    7*p\           
           24*p*|2 - ---|           
                \     4 /           
------------------------------------
/      114   \ /    21*p\           
|1 - --------|*|1 - ----|*(-5 + 2*p)
\    -5 + 2*p/ \     2  /

$$\frac{24 p \left(2 - \frac{7 p}{4}\right)}{\left(1 - \frac{21 p}{2}\right) \left(1 - \frac{114}{2 p - 5}\right) \left(2 p - 5\right)}$$

24*p*(2 - 7*p/4)/((1 - 114/(-5 + 2*p))*(1 - 21*p/2)*(-5 + 2*p))

Combinatorics [src]

    12*p*(-8 + 7*p)     
------------------------
(-119 + 2*p)*(-2 + 21*p)

$$\frac{12 p \left(7 p - 8\right)}{\left(2 p - 119\right) \left(21 p - 2\right)}$$

12*p*(-8 + 7*p)/((-119 + 2*p)*(-2 + 21*p))

Rational denominator [src]

            2        3     
     - 192*p  + 168*p      
---------------------------
            /            2\
(-4 + 42*p)*\-119*p + 2*p /

$$\frac{168 p^{3} - 192 p^{2}}{\left(42 p - 4\right) \left(2 p^{2} - 119 p\right)}$$

(-192*p^2 + 168*p^3)/((-4 + 42*p)*(-119*p + 2*p^2))

Trigonometric part [src]

                /    7*p\           
           24*p*|2 - ---|           
                \     4 /           
------------------------------------
/      114   \ /    21*p\           
|1 - --------|*|1 - ----|*(-5 + 2*p)
\    -5 + 2*p/ \     2  /

$$\frac{24 p \left(2 - \frac{7 p}{4}\right)}{\left(1 - \frac{21 p}{2}\right) \left(1 - \frac{114}{2 p - 5}\right) \left(2 p - 5\right)}$$

24*p*(2 - 7*p/4)/((1 - 114/(-5 + 2*p))*(1 - 21*p/2)*(-5 + 2*p))

Powers [src]

                /    7*p\           
           24*p*|2 - ---|           
                \     4 /           
------------------------------------
/      114   \ /    21*p\           
|1 - --------|*|1 - ----|*(-5 + 2*p)
\    -5 + 2*p/ \     2  /

$$\frac{24 p \left(2 - \frac{7 p}{4}\right)}{\left(1 - \frac{21 p}{2}\right) \left(1 - \frac{114}{2 p - 5}\right) \left(2 p - 5\right)}$$

24*p*(2 - 7*p/4)/((1 - 114/(-5 + 2*p))*(1 - 21*p/2)*(-5 + 2*p))

Common denominator [src]

       -476 + 4910*p    
2 + --------------------
                       2
    238 - 2503*p + 42*p

$$\frac{4910 p - 476}{42 p^{2} - 2503 p + 238} + 2$$

2 + (-476 + 4910*p)/(238 - 2503*p + 42*p^2)

Combining rational expressions [src]

     12*p*(8 - 7*p)    
-----------------------
(-119 + 2*p)*(2 - 21*p)

$$\frac{12 p \left(8 - 7 p\right)}{\left(2 - 21 p\right) \left(2 p - 119\right)}$$

12*p*(8 - 7*p)/((-119 + 2*p)*(2 - 21*p))

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Identical expressions

Similar expressions

How do you ((6*p/(2*p-5))*4)/(1+((6*p/(2*p-5))/p)+(6*p/(2*p-5))*4*((-5)/p))*(2-7/4*p)/(1-7/4*p*6) in partial fractions?

The solution

How do you ((6p/(2p-5))4)/(1+((6p/(2p-5))/p)+(6p/(2p-5))4*((-5)/p))(2-7/4p)/(1-7/4p6) in partial fractions?