Descomposición de una fracción (n-2)/(16n-2)*(1-(n-2)/(16n-2))+(4n-2)/(16n-2)*(1-(4n-2)/(16n-2))+(4n)/(16n-2)*(1-(4n)/(16n-2))+4/(16n-2)*(1-4/(16n-2))+(2n)/(16n-2)*(1-(2n)/(16n-2))+(5n-10)/(16n-2)*(1-(5n-10)/(16n-2))+8/(16n-2)*(1-8/(16n-2)) ((n menos 2) dividir por (16n menos 2) multiplicar por (1 menos (n menos 2) dividir por (16n menos 2)) más (4n menos 2) dividir por (16n menos 2) multiplicar por (1 menos (4n menos 2) dividir por (16n menos 2)) más (4n) dividir por (16n menos 2) multiplicar por (1 menos (4n) dividir por (16n menos 2)) más 4 dividir por (16n menos 2) multiplicar por (1 menos 4 dividir por (16n menos 2)) más (2n) dividir por (16n menos 2) multiplicar por (1 menos (2n) dividir por (16n menos 2)) más (5n menos 10) dividir por (16n menos 2) multiplicar por (1 menos (5n menos 10) dividir por (16n menos 2)) más 8 dividir por (16n menos 2) multiplicar por (1 menos 8 dividir por (16n menos 2)))

Ha introducido [src]

 n - 2   /     n - 2  \   4*n - 2  /    4*n - 2 \     4*n    /      4*n   \      4     /       4    \     2*n    /      2*n   \   5*n - 10 /    5*n - 10\      8     /       8    \
--------*|1 - --------| + --------*|1 - --------| + --------*|1 - --------| + --------*|1 - --------| + --------*|1 - --------| + --------*|1 - --------| + --------*|1 - --------|
16*n - 2 \    16*n - 2/   16*n - 2 \    16*n - 2/   16*n - 2 \    16*n - 2/   16*n - 2 \    16*n - 2/   16*n - 2 \    16*n - 2/   16*n - 2 \    16*n - 2/   16*n - 2 \    16*n - 2/

$$\left(1 - \frac{8}{16 n - 2}\right) \frac{8}{16 n - 2} + \left(\frac{5 n - 10}{16 n - 2} \left(- \frac{5 n - 10}{16 n - 2} + 1\right) + \left(\frac{2 n}{16 n - 2} \left(- \frac{2 n}{16 n - 2} + 1\right) + \left(\left(1 - \frac{4}{16 n - 2}\right) \frac{4}{16 n - 2} + \left(\frac{4 n}{16 n - 2} \left(- \frac{4 n}{16 n - 2} + 1\right) + \left(\frac{n - 2}{16 n - 2} \left(- \frac{n - 2}{16 n - 2} + 1\right) + \frac{4 n - 2}{16 n - 2} \left(- \frac{4 n - 2}{16 n - 2} + 1\right)\right)\right)\right)\right)\right)$$

((n - 2)/(16*n - 2))*(1 - (n - 2)/(16*n - 2)) + ((4*n - 2)/(16*n - 2))*(1 - (4*n - 2)/(16*n - 2)) + ((4*n)/(16*n - 2))*(1 - 4*n/(16*n - 2)) + (4/(16*n - 2))*(1 - 4/(16*n - 2)) + ((2*n)/(16*n - 2))*(1 - 2*n/(16*n - 2)) + ((5*n - 10)/(16*n - 2))*(1 - (5*n - 10)/(16*n - 2)) + (8/(16*n - 2))*(1 - 8/(16*n - 2))

Descomposición de una fracción [src]

97/128 - 5567/(128*(-1 + 8*n)^2) + 209/(64*(-1 + 8*n))

$$\frac{97}{128} + \frac{209}{64 \left(8 n - 1\right)} - \frac{5567}{128 \left(8 n - 1\right)^{2}}$$

 97         5567             209     
--- - --------------- + -------------
128                 2   64*(-1 + 8*n)
      128*(-1 + 8*n)

Simplificación general [src]

                  2 
 -92 + 28*n + 97*n  
--------------------
  /               2\
2*\1 - 16*n + 64*n /

$$\frac{97 n^{2} + 28 n - 92}{2 \left(64 n^{2} - 16 n + 1\right)}$$

(-92 + 28*n + 97*n^2)/(2*(1 - 16*n + 64*n^2))

Respuesta numérica [src]

4.0*(1.0 - 4.0/(-2.0 + 16.0*n))/(-2.0 + 16.0*n) + 8.0*(1.0 - 8.0/(-2.0 + 16.0*n))/(-2.0 + 16.0*n) + (1.0 - (-2.0 + n)/(-2.0 + 16.0*n))*(-2.0 + n)/(-2.0 + 16.0*n) + (1.0 - (-2.0 + 4.0*n)/(-2.0 + 16.0*n))*(-2.0 + 4.0*n)/(-2.0 + 16.0*n) + (1.0 - (-10.0 + 5.0*n)/(-2.0 + 16.0*n))*(-10.0 + 5.0*n)/(-2.0 + 16.0*n) + 2.0*n*(1.0 - 2.0*n/(-2.0 + 16.0*n))/(-2.0 + 16.0*n) + 4.0*n*(1.0 - 4.0*n/(-2.0 + 16.0*n))/(-2.0 + 16.0*n)

4.0*(1.0 - 4.0/(-2.0 + 16.0*n))/(-2.0 + 16.0*n) + 8.0*(1.0 - 8.0/(-2.0 + 16.0*n))/(-2.0 + 16.0*n) + (1.0 - (-2.0 + n)/(-2.0 + 16.0*n))*(-2.0 + n)/(-2.0 + 16.0*n) + (1.0 - (-2.0 + 4.0*n)/(-2.0 + 16.0*n))*(-2.0 + 4.0*n)/(-2.0 + 16.0*n) + (1.0 - (-10.0 + 5.0*n)/(-2.0 + 16.0*n))*(-10.0 + 5.0*n)/(-2.0 + 16.0*n) + 2.0*n*(1.0 - 2.0*n/(-2.0 + 16.0*n))/(-2.0 + 16.0*n) + 4.0*n*(1.0 - 4.0*n/(-2.0 + 16.0*n))/(-2.0 + 16.0*n)

Compilar la expresión [src]

  /        4    \     /        8    \   /    -10 + 5*n\               /      -2 + n \            /     -2 + 4*n\                  /       2*n   \       /       4*n   \
4*|1 - ---------|   8*|1 - ---------|   |1 - ---------|*(-10 + 5*n)   |1 - ---------|*(-2 + n)   |1 - ---------|*(-2 + 4*n)   2*n*|1 - ---------|   4*n*|1 - ---------|
  \    -2 + 16*n/     \    -2 + 16*n/   \    -2 + 16*n/               \    -2 + 16*n/            \    -2 + 16*n/                  \    -2 + 16*n/       \    -2 + 16*n/
----------------- + ----------------- + --------------------------- + ------------------------ + -------------------------- + ------------------- + -------------------
    -2 + 16*n           -2 + 16*n                -2 + 16*n                   -2 + 16*n                   -2 + 16*n                 -2 + 16*n             -2 + 16*n

$$\frac{4 n \left(- \frac{4 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{2 n \left(- \frac{2 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{8 \left(1 - \frac{8}{16 n - 2}\right)}{16 n - 2} + \frac{4 \left(1 - \frac{4}{16 n - 2}\right)}{16 n - 2} + \frac{\left(n - 2\right) \left(- \frac{n - 2}{16 n - 2} + 1\right)}{16 n - 2} + \frac{\left(4 n - 2\right) \left(- \frac{4 n - 2}{16 n - 2} + 1\right)}{16 n - 2} + \frac{\left(5 n - 10\right) \left(- \frac{5 n - 10}{16 n - 2} + 1\right)}{16 n - 2}$$

4*(1 - 4/(-2 + 16*n))/(-2 + 16*n) + 8*(1 - 8/(-2 + 16*n))/(-2 + 16*n) + (1 - (-10 + 5*n)/(-2 + 16*n))*(-10 + 5*n)/(-2 + 16*n) + (1 - (-2 + n)/(-2 + 16*n))*(-2 + n)/(-2 + 16*n) + (1 - (-2 + 4*n)/(-2 + 16*n))*(-2 + 4*n)/(-2 + 16*n) + 2*n*(1 - 2*n/(-2 + 16*n))/(-2 + 16*n) + 4*n*(1 - 4*n/(-2 + 16*n))/(-2 + 16*n)

Unión de expresiones racionales [src]

-104 + 192*n + n*(-62 + 111*n) + 4*n*(-1 + 7*n) + 5*(-2 + n)*(8 + 11*n)
-----------------------------------------------------------------------
                                         2                             
                             4*(-1 + 8*n)

$$\frac{4 n \left(7 n - 1\right) + n \left(111 n - 62\right) + 192 n + 5 \left(n - 2\right) \left(11 n + 8\right) - 104}{4 \left(8 n - 1\right)^{2}}$$

(-104 + 192*n + n*(-62 + 111*n) + 4*n*(-1 + 7*n) + 5*(-2 + n)*(8 + 11*n))/(4*(-1 + 8*n)^2)

Parte trigonométrica [src]

  /        4    \     /        8    \   /    -10 + 5*n\               /      -2 + n \            /     -2 + 4*n\                  /       2*n   \       /       4*n   \
4*|1 - ---------|   8*|1 - ---------|   |1 - ---------|*(-10 + 5*n)   |1 - ---------|*(-2 + n)   |1 - ---------|*(-2 + 4*n)   2*n*|1 - ---------|   4*n*|1 - ---------|
  \    -2 + 16*n/     \    -2 + 16*n/   \    -2 + 16*n/               \    -2 + 16*n/            \    -2 + 16*n/                  \    -2 + 16*n/       \    -2 + 16*n/
----------------- + ----------------- + --------------------------- + ------------------------ + -------------------------- + ------------------- + -------------------
    -2 + 16*n           -2 + 16*n                -2 + 16*n                   -2 + 16*n                   -2 + 16*n                 -2 + 16*n             -2 + 16*n

$$\frac{4 n \left(- \frac{4 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{2 n \left(- \frac{2 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{8 \left(1 - \frac{8}{16 n - 2}\right)}{16 n - 2} + \frac{4 \left(1 - \frac{4}{16 n - 2}\right)}{16 n - 2} + \frac{\left(n - 2\right) \left(- \frac{n - 2}{16 n - 2} + 1\right)}{16 n - 2} + \frac{\left(4 n - 2\right) \left(- \frac{4 n - 2}{16 n - 2} + 1\right)}{16 n - 2} + \frac{\left(5 n - 10\right) \left(- \frac{5 n - 10}{16 n - 2} + 1\right)}{16 n - 2}$$

4*(1 - 4/(-2 + 16*n))/(-2 + 16*n) + 8*(1 - 8/(-2 + 16*n))/(-2 + 16*n) + (1 - (-10 + 5*n)/(-2 + 16*n))*(-10 + 5*n)/(-2 + 16*n) + (1 - (-2 + n)/(-2 + 16*n))*(-2 + n)/(-2 + 16*n) + (1 - (-2 + 4*n)/(-2 + 16*n))*(-2 + 4*n)/(-2 + 16*n) + 2*n*(1 - 2*n/(-2 + 16*n))/(-2 + 16*n) + 4*n*(1 - 4*n/(-2 + 16*n))/(-2 + 16*n)

Denominador común [src]

 97       -5985 + 3344*n    
--- + ----------------------
128                        2
      128 - 2048*n + 8192*n

$$\frac{3344 n - 5985}{8192 n^{2} - 2048 n + 128} + \frac{97}{128}$$

97/128 + (-5985 + 3344*n)/(128 - 2048*n + 8192*n^2)

Combinatoria [src]

                 2
-92 + 28*n + 97*n 
------------------
              2   
  2*(-1 + 8*n)

$$\frac{97 n^{2} + 28 n - 92}{2 \left(8 n - 1\right)^{2}}$$

(-92 + 28*n + 97*n^2)/(2*(-1 + 8*n)^2)

Potencias [src]

  /        4    \     /        8    \   /    -10 + 5*n\               /      -2 + n \            /     -2 + 4*n\                  /       2*n   \       /       4*n   \
4*|1 - ---------|   8*|1 - ---------|   |1 - ---------|*(-10 + 5*n)   |1 - ---------|*(-2 + n)   |1 - ---------|*(-2 + 4*n)   2*n*|1 - ---------|   4*n*|1 - ---------|
  \    -2 + 16*n/     \    -2 + 16*n/   \    -2 + 16*n/               \    -2 + 16*n/            \    -2 + 16*n/                  \    -2 + 16*n/       \    -2 + 16*n/
----------------- + ----------------- + --------------------------- + ------------------------ + -------------------------- + ------------------- + -------------------
    -2 + 16*n           -2 + 16*n                -2 + 16*n                   -2 + 16*n                   -2 + 16*n                 -2 + 16*n             -2 + 16*n

$$\frac{4 n \left(- \frac{4 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{2 n \left(- \frac{2 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{8 \left(1 - \frac{8}{16 n - 2}\right)}{16 n - 2} + \frac{4 \left(1 - \frac{4}{16 n - 2}\right)}{16 n - 2} + \frac{\left(n - 2\right) \left(- \frac{n - 2}{16 n - 2} + 1\right)}{16 n - 2} + \frac{\left(4 n - 2\right) \left(- \frac{4 n - 2}{16 n - 2} + 1\right)}{16 n - 2} + \frac{\left(5 n - 10\right) \left(- \frac{5 n - 10}{16 n - 2} + 1\right)}{16 n - 2}$$

        16              64      /      2 - n  \            /     2 - 4*n \              /     10 - 5*n\                   /       2*n   \       /       4*n   \
4 - ---------   8 - ---------   |1 + ---------|*(-2 + n)   |1 + ---------|*(-2 + 4*n)   |1 + ---------|*(-10 + 5*n)   2*n*|1 - ---------|   4*n*|1 - ---------|
    -2 + 16*n       -2 + 16*n   \    -2 + 16*n/            \    -2 + 16*n/              \    -2 + 16*n/                   \    -2 + 16*n/       \    -2 + 16*n/
------------- + ------------- + ------------------------ + -------------------------- + --------------------------- + ------------------- + -------------------
  -2 + 16*n       -2 + 16*n            -2 + 16*n                   -2 + 16*n                     -2 + 16*n                 -2 + 16*n             -2 + 16*n

$$\frac{4 n \left(- \frac{4 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{2 n \left(- \frac{2 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{4 - \frac{16}{16 n - 2}}{16 n - 2} + \frac{8 - \frac{64}{16 n - 2}}{16 n - 2} + \frac{\left(n - 2\right) \left(\frac{2 - n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{\left(4 n - 2\right) \left(\frac{2 - 4 n}{16 n - 2} + 1\right)}{16 n - 2} + \frac{\left(5 n - 10\right) \left(\frac{10 - 5 n}{16 n - 2} + 1\right)}{16 n - 2}$$

(4 - 16/(-2 + 16*n))/(-2 + 16*n) + (8 - 64/(-2 + 16*n))/(-2 + 16*n) + (1 + (2 - n)/(-2 + 16*n))*(-2 + n)/(-2 + 16*n) + (1 + (2 - 4*n)/(-2 + 16*n))*(-2 + 4*n)/(-2 + 16*n) + (1 + (10 - 5*n)/(-2 + 16*n))*(-10 + 5*n)/(-2 + 16*n) + 2*n*(1 - 2*n/(-2 + 16*n))/(-2 + 16*n) + 4*n*(1 - 4*n/(-2 + 16*n))/(-2 + 16*n)

Denominador racional [src]

-104 + 192*n + (-10 + 5*n)*(8 + 11*n) + 2*n*(-2 + 14*n) + 4*n*(-2 + 12*n) + 12*n*(-2 + 4*n) + 15*n*(-2 + n)
-----------------------------------------------------------------------------------------------------------
                                                           2                                               
                                                (-2 + 16*n)

$$\frac{15 n \left(n - 2\right) + 12 n \left(4 n - 2\right) + 4 n \left(12 n - 2\right) + 2 n \left(14 n - 2\right) + 192 n + \left(5 n - 10\right) \left(11 n + 8\right) - 104}{\left(16 n - 2\right)^{2}}$$

(-104 + 192*n + (-10 + 5*n)*(8 + 11*n) + 2*n*(-2 + 14*n) + 4*n*(-2 + 12*n) + 12*n*(-2 + 4*n) + 15*n*(-2 + n))/(-2 + 16*n)^2

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

¿Cómo vas a descomponer esta (n-2)/(16n-2)(1-(n-2)/(16n-2))+(4n-2)/(16n-2)(1-(4n-2)/(16n-2))+(4n)/(16n-2)(1-(4n)/(16n-2))+4/(16n-2)(1-4/(16n-2))+(2n)/(16n-2)(1-(2n)/(16n-2))+(5n-10)/(16n-2)(1-(5n-10)/(16n-2))+8/(16n-2)*(1-8/(16n-2)) expresión en fracciones?

Solución

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

¿Cómo vas a descomponer esta (n-2)/(16n-2)*(1-(n-2)/(16n-2))+(4n-2)/(16n-2)*(1-(4n-2)/(16n-2))+(4n)/(16n-2)*(1-(4n)/(16n-2))+4/(16n-2)*(1-4/(16n-2))+(2n)/(16n-2)*(1-(2n)/(16n-2))+(5n-10)/(16n-2)*(1-(5n-10)/(16n-2))+8/(16n-2)*(1-8/(16n-2)) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta (n-2)/(16n-2)(1-(n-2)/(16n-2))+(4n-2)/(16n-2)(1-(4n-2)/(16n-2))+(4n)/(16n-2)(1-(4n)/(16n-2))+4/(16n-2)(1-4/(16n-2))+(2n)/(16n-2)(1-(2n)/(16n-2))+(5n-10)/(16n-2)(1-(5n-10)/(16n-2))+8/(16n-2)*(1-8/(16n-2)) expresión en fracciones?