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¿cómo vas a descomponer esta expresión en fracciones?:
a^5*b^4/(a*b^3)^2
(2x+3)/(x^2-9)
(z/c+c/z)/((z^2+c^2)/(5*z^9*c))
(z-t)/(z+t)/(z-t)^2
Factorizar el polinomio:
z^3-9*z^2+16*z+26
z^2+5*i*z+5*i*z^3/3
-y+x*y-2*y^2
z^2-4*z+5
Descomponer al cuadrado:
-y^4+y^2-10
-y^4-y^2-1
y^4+y^2+1
y^4-9*y^2-9
Expresiones idénticas
(- tres * diez ^x*sin(dos x))/(2*(cos(2x))^(uno / cuatro))- diez ^x*ln(diez)*(cos(2x))^(tres / cuatro)
( menos 3 multiplicar por 10 en el grado x multiplicar por seno de (2x)) dividir por (2 multiplicar por ( coseno de (2x)) en el grado (1 dividir por 4)) menos 10 en el grado x multiplicar por ln(10) multiplicar por ( coseno de (2x)) en el grado (3 dividir por 4)
( menos tres multiplicar por diez en el grado x multiplicar por seno de (dos x)) dividir por (2 multiplicar por ( coseno de (2x)) en el grado (uno dividir por cuatro)) menos diez en el grado x multiplicar por ln(diez) multiplicar por ( coseno de (2x)) en el grado (tres dividir por cuatro)
(-3*10x*sin(2x))/(2*(cos(2x))(1/4))-10x*ln(10)*(cos(2x))(3/4)
-3*10x*sin2x/2*cos2x1/4-10x*ln10*cos2x3/4
(-310^xsin(2x))/(2(cos(2x))^(1/4))-10^xln(10)(cos(2x))^(3/4)
(-310xsin(2x))/(2(cos(2x))(1/4))-10xln(10)(cos(2x))(3/4)
-310xsin2x/2cos2x1/4-10xln10cos2x3/4
-310^xsin2x/2cos2x^1/4-10^xln10cos2x^3/4
(-3*10^x*sin(2x)) dividir por (2*(cos(2x))^(1 dividir por 4))-10^x*ln(10)*(cos(2x))^(3 dividir por 4)
Expresiones semejantes
(3*10^x*sin(2x))/(2*(cos(2x))^(1/4))-10^x*ln(10)*(cos(2x))^(3/4)
(-3*10^x*sin(2x))/(2*(cos(2x))^(1/4))+10^x*ln(10)*(cos(2x))^(3/4)
Expresiones con funciones
Seno sin
sin(2*b)/((2*cos(b)))
sin(14*x)/((2*cos(7*x)))
sin(2*x)/(28*cos(2*x)-sin(2*x))
sin(2*a)/((2*sin(a)))
sina/(sin^3a+3cos^3a)
Coseno cos
cos(4*x)/(cos(2*x)-sin(2*x))
cos((7pi/24)+pi/8)/(√6*sin(pi/10+(3pi)/20))
cos(x)^(2/x)*(-2*log(cos(x))/x^2-2*sin(x)/(x*cos(x)))
cos(b)/(cos*b/2)-(sin*b/2)
cos(pi*x)*exp(x)/(1+pi^2)+pi*exp(x)*sin(pi*x)/(1+pi^2)
ln
ln((x+(sqrt(x^2+1)))/(2x))
ln((x+sqrtx^2+1)/(2x))
ln(1/(2x))^tgx
lnx/(x^2+3x)
ln(3/sin(n/(n^3+1)))/ln(n)
Coseno cos
cos(4*x)/(cos(2*x)-sin(2*x))
cos((7pi/24)+pi/8)/(√6*sin(pi/10+(3pi)/20))
cos(x)^(2/x)*(-2*log(cos(x))/x^2-2*sin(x)/(x*cos(x)))
cos(b)/(cos*b/2)-(sin*b/2)
cos(pi*x)*exp(x)/(1+pi^2)+pi*exp(x)*sin(pi*x)/(1+pi^2)

Simplificación de expresiones/ Descomposición en fracciones simples/ (-3*10^x*sin(2x))/(2*(cos(2x))^(1/4))-10^x*ln(10)*(cos(2x))^(3/4)

¿Cómo vas a descomponer esta (-310^xsin(2x))/(2(cos(2x))^(1/4))-10^xln(10)*(cos(2x))^(3/4) expresión en fracciones?

Solución

Ha introducido [src]

     x                                   
-3*10 *sin(2*x)     x            3/4     
--------------- - 10 *log(10)*cos   (2*x)
   4 __________                          
 2*\/ cos(2*x)

$$- 10^{x} \log{\left(10 \right)} \cos^{\frac{3}{4}}{\left(2 x \right)} + \frac{- 3 \cdot 10^{x} \sin{\left(2 x \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}}$$

((-3*10^x)*sin(2*x))/((2*cos(2*x)^(1/4))) - 10^x*log(10)*cos(2*x)^(3/4)

Simplificación general [src]

   x                                  
-10 *(3*sin(2*x) + cos(2*x)*log(100)) 
--------------------------------------
              4 __________            
            2*\/ cos(2*x)

$$- \frac{10^{x} \left(3 \sin{\left(2 x \right)} + \log{\left(100 \right)} \cos{\left(2 x \right)}\right)}{2 \sqrt[4]{\cos{\left(2 x \right)}}}$$

-10^x*(3*sin(2*x) + cos(2*x)*log(100))/(2*cos(2*x)^(1/4))

Respuesta numérica [src]

-2.30258509299405*10.0^x*cos(2*x)^0.75 - 1.5*10.0^x*cos(2*x)^(-0.25)*sin(2*x)

-2.30258509299405*10.0^x*cos(2*x)^0.75 - 1.5*10.0^x*cos(2*x)^(-0.25)*sin(2*x)

Denominador racional [src]

      x                x                 
- 3*10 *sin(2*x) - 2*10 *cos(2*x)*log(10)
-----------------------------------------
                4 __________             
              2*\/ cos(2*x)

$$\frac{- 3 \cdot 10^{x} \sin{\left(2 x \right)} - 2 \cdot 10^{x} \log{\left(10 \right)} \cos{\left(2 x \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}}$$

(-3*10^x*sin(2*x) - 2*10^x*cos(2*x)*log(10))/(2*cos(2*x)^(1/4))

Potencias [src]

                        3/4                                       
      / -2*I*x    2*I*x\                    x /   -2*I*x    2*I*x\
    x |e         e     |              3*I*10 *\- e       + e     /
- 10 *|------- + ------|   *log(10) + ----------------------------
      \   2        2   /                      __________________  
                                             /  -2*I*x    2*I*x   
                                            /  e         e        
                                       4*4 /   ------- + ------   
                                         \/       2        2

$$- 10^{x} \left(\frac{e^{2 i x}}{2} + \frac{e^{- 2 i x}}{2}\right)^{\frac{3}{4}} \log{\left(10 \right)} + \frac{3 \cdot 10^{x} i \left(e^{2 i x} - e^{- 2 i x}\right)}{4 \sqrt[4]{\frac{e^{2 i x}}{2} + \frac{e^{- 2 i x}}{2}}}$$

                                x         
    x    3/4                3*10 *sin(2*x)
- 10 *cos   (2*x)*log(10) - --------------
                              4 __________
                            2*\/ cos(2*x)

$$- \frac{3 \cdot 10^{x} \sin{\left(2 x \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}} - 10^{x} \log{\left(10 \right)} \cos^{\frac{3}{4}}{\left(2 x \right)}$$

-10^x*cos(2*x)^(3/4)*log(10) - 3*10^x*sin(2*x)/(2*cos(2*x)^(1/4))

Unión de expresiones racionales [src]

  x                                   
10 *(-3*sin(2*x) - 2*cos(2*x)*log(10))
--------------------------------------
              4 __________            
            2*\/ cos(2*x)

$$\frac{10^{x} \left(- 3 \sin{\left(2 x \right)} - 2 \log{\left(10 \right)} \cos{\left(2 x \right)}\right)}{2 \sqrt[4]{\cos{\left(2 x \right)}}}$$

10^x*(-3*sin(2*x) - 2*cos(2*x)*log(10))/(2*cos(2*x)^(1/4))

Combinatoria [src]

   x                                   
-10 *(3*sin(2*x) + 2*cos(2*x)*log(10)) 
---------------------------------------
               4 __________            
             2*\/ cos(2*x)

$$- \frac{10^{x} \left(3 \sin{\left(2 x \right)} + 2 \log{\left(10 \right)} \cos{\left(2 x \right)}\right)}{2 \sqrt[4]{\cos{\left(2 x \right)}}}$$

-10^x*(3*sin(2*x) + 2*cos(2*x)*log(10))/(2*cos(2*x)^(1/4))

Denominador común [src]

 /    x                x                 \ 
-\3*10 *sin(2*x) + 2*10 *cos(2*x)*log(10)/ 
-------------------------------------------
                 4 __________              
               2*\/ cos(2*x)

$$- \frac{3 \cdot 10^{x} \sin{\left(2 x \right)} + 2 \cdot 10^{x} \log{\left(10 \right)} \cos{\left(2 x \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}}$$

-(3*10^x*sin(2*x) + 2*10^x*cos(2*x)*log(10))/(2*cos(2*x)^(1/4))

Abrimos la expresión [src]

                      3/4               x              
    x /          2   \              3*10 *cos(x)*sin(x)
- 10 *\-1 + 2*cos (x)/   *log(10) - -------------------
                                       ________________
                                    4 /           2    
                                    \/  -1 + 2*cos (x)

$$- 10^{x} \left(2 \cos^{2}{\left(x \right)} - 1\right)^{\frac{3}{4}} \log{\left(10 \right)} - \frac{3 \cdot 10^{x} \sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt[4]{2 \cos^{2}{\left(x \right)} - 1}}$$

                                x         
    x            3/4        3*10 *sin(2*x)
- 10 *log(10)*cos   (2*x) - --------------
                              4 __________
                            2*\/ cos(2*x)

$$- \frac{3 \cdot 10^{x} \sin{\left(2 x \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}} - 10^{x} \log{\left(10 \right)} \cos^{\frac{3}{4}}{\left(2 x \right)}$$

-10^x*log(10)*cos(2*x)^(3/4) - 3*10^x*sin(2*x)/(2*cos(2*x)^(1/4))

Compilar la expresión [src]

                                x         
    x    3/4                3*10 *sin(2*x)
- 10 *cos   (2*x)*log(10) - --------------
                              4 __________
                            2*\/ cos(2*x)

$$- \frac{3 \cdot 10^{x} \sin{\left(2 x \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}} - 10^{x} \log{\left(10 \right)} \cos^{\frac{3}{4}}{\left(2 x \right)}$$

-10^x*cos(2*x)^(3/4)*log(10) - 3*10^x*sin(2*x)/(2*cos(2*x)^(1/4))

Parte trigonométrica [src]

     /                           /      pi\\
     |                      3*cos|2*x - --||
   x |   3/4                     \      2 /|
-10 *|cos   (2*x)*log(10) + ---------------|
     |                         4 __________|
     \                       2*\/ cos(2*x) /

$$- 10^{x} \left(\log{\left(10 \right)} \cos^{\frac{3}{4}}{\left(2 x \right)} + \frac{3 \cos{\left(2 x - \frac{\pi}{2} \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}}\right)$$

                3/4                         x          
    x /   1    \                        3*10           
- 10 *|--------|   *log(10) - -------------------------
      \sec(2*x)/                    __________         
                                   /    1              
                              2*4 /  -------- *csc(2*x)
                                \/   sec(2*x)

$$- 10^{x} \left(\frac{1}{\sec{\left(2 x \right)}}\right)^{\frac{3}{4}} \log{\left(10 \right)} - \frac{3 \cdot 10^{x}}{2 \sqrt[4]{\frac{1}{\sec{\left(2 x \right)}}} \csc{\left(2 x \right)}}$$

   x /   3/4                  3*sin(2*x)  \
-10 *|cos   (2*x)*log(10) + --------------|
     |                        4 __________|
     \                      2*\/ cos(2*x) /

$$- 10^{x} \left(\frac{3 \sin{\left(2 x \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}} + \log{\left(10 \right)} \cos^{\frac{3}{4}}{\left(2 x \right)}\right)$$

                                x    /      pi\
                            3*10 *cos|2*x - --|
    x    3/4                         \      2 /
- 10 *cos   (2*x)*log(10) - -------------------
                                 4 __________  
                               2*\/ cos(2*x)

$$- 10^{x} \log{\left(10 \right)} \cos^{\frac{3}{4}}{\left(2 x \right)} - \frac{3 \cdot 10^{x} \cos{\left(2 x - \frac{\pi}{2} \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}}$$

   x /   3/4/pi      \                 3*sin(2*x)     \
-10 *|sin   |-- + 2*x|*log(10) + ---------------------|
     |      \2       /                 _______________|
     |                                /    /pi      \ |
     |                           2*4 /  sin|-- + 2*x| |
     \                             \/      \2       / /

$$- 10^{x} \left(\frac{3 \sin{\left(2 x \right)}}{2 \sqrt[4]{\sin{\left(2 x + \frac{\pi}{2} \right)}}} + \log{\left(10 \right)} \sin^{\frac{3}{4}}{\left(2 x + \frac{\pi}{2} \right)}\right)$$

     /          3/4                                         \
   x |/   1    \                            3               |
-10 *||--------|   *log(10) + ------------------------------|
     |\sec(2*x)/                    __________              |
     |                             /    1         /      pi\|
     |                        2*4 /  -------- *sec|2*x - --||
     \                          \/   sec(2*x)     \      2 //

$$- 10^{x} \left(\left(\frac{1}{\sec{\left(2 x \right)}}\right)^{\frac{3}{4}} \log{\left(10 \right)} + \frac{3}{2 \sqrt[4]{\frac{1}{\sec{\left(2 x \right)}}} \sec{\left(2 x - \frac{\pi}{2} \right)}}\right)$$

     /               3/4                                           \
   x |/      1      \                             3                |
-10 *||-------------|   *log(10) + --------------------------------|
     ||   /pi      \|                      _______________         |
     ||csc|-- - 2*x||                     /       1                |
     |\   \2       //              2*    /  ------------- *csc(2*x)|
     |                                  /      /pi      \          |
     |                               4 /    csc|-- - 2*x|          |
     \                               \/        \2       /          /

$$- 10^{x} \left(\left(\frac{1}{\csc{\left(- 2 x + \frac{\pi}{2} \right)}}\right)^{\frac{3}{4}} \log{\left(10 \right)} + \frac{3}{2 \sqrt[4]{\frac{1}{\csc{\left(- 2 x + \frac{\pi}{2} \right)}}} \csc{\left(2 x \right)}}\right)$$

     /             3/4                                            \
     |/       2   \                                               |
   x ||1 - tan (x)|                           3*tan(x)            |
-10 *||-----------|   *log(10) + ---------------------------------|
     ||       2   |                    _____________              |
     |\1 + tan (x)/                   /        2                  |
     |                               /  1 - tan (x)  /       2   \|
     |                              /   ----------- *\1 + tan (x)/|
     |                           4 /           2                  |
     \                           \/     1 + tan (x)               /

$$- 10^{x} \left(\left(\frac{1 - \tan^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 1}\right)^{\frac{3}{4}} \log{\left(10 \right)} + \frac{3 \tan{\left(x \right)}}{\sqrt[4]{\frac{1 - \tan^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 1}} \left(\tan^{2}{\left(x \right)} + 1\right)}\right)$$

                                         x            
    x    3/4/pi      \               3*10 *sin(2*x)   
- 10 *sin   |-- + 2*x|*log(10) - ---------------------
            \2       /                 _______________
                                      /    /pi      \ 
                                 2*4 /  sin|-- + 2*x| 
                                   \/      \2       /

$$- \frac{3 \cdot 10^{x} \sin{\left(2 x \right)}}{2 \sqrt[4]{\sin{\left(2 x + \frac{\pi}{2} \right)}}} - 10^{x} \log{\left(10 \right)} \sin^{\frac{3}{4}}{\left(2 x + \frac{\pi}{2} \right)}$$

                   3/4                                            
      /       2   \                             x                 
    x |1 - tan (x)|                         3*10 *tan(x)          
- 10 *|-----------|   *log(10) - ---------------------------------
      |       2   |                    _____________              
      \1 + tan (x)/                   /        2                  
                                     /  1 - tan (x)  /       2   \
                                    /   ----------- *\1 + tan (x)/
                                 4 /           2                  
                                 \/     1 + tan (x)

$$- 10^{x} \left(\frac{1 - \tan^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 1}\right)^{\frac{3}{4}} \log{\left(10 \right)} - \frac{3 \cdot 10^{x} \tan{\left(x \right)}}{\sqrt[4]{\frac{1 - \tan^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 1}} \left(\tan^{2}{\left(x \right)} + 1\right)}$$

                3/4                           x             
    x /   1    \                          3*10              
- 10 *|--------|   *log(10) - ------------------------------
      \sec(2*x)/                    __________              
                                   /    1         /      pi\
                              2*4 /  -------- *sec|2*x - --|
                                \/   sec(2*x)     \      2 /

$$- 10^{x} \left(\frac{1}{\sec{\left(2 x \right)}}\right)^{\frac{3}{4}} \log{\left(10 \right)} - \frac{3 \cdot 10^{x}}{2 \sqrt[4]{\frac{1}{\sec{\left(2 x \right)}}} \sec{\left(2 x - \frac{\pi}{2} \right)}}$$

     /              3/4                                             \
     |/        2   \                                                |
   x ||-1 + cot (x)|                           3*cot(x)             |
-10 *||------------|   *log(10) + ----------------------------------|
     ||       2    |                    ______________              |
     |\1 + cot (x) /                   /         2                  |
     |                                /  -1 + cot (x)  /       2   \|
     |                               /   ------------ *\1 + cot (x)/|
     |                            4 /           2                   |
     \                            \/     1 + cot (x)                /

$$- 10^{x} \left(\left(\frac{\cot^{2}{\left(x \right)} - 1}{\cot^{2}{\left(x \right)} + 1}\right)^{\frac{3}{4}} \log{\left(10 \right)} + \frac{3 \cot{\left(x \right)}}{\sqrt[4]{\frac{\cot^{2}{\left(x \right)} - 1}{\cot^{2}{\left(x \right)} + 1}} \left(\cot^{2}{\left(x \right)} + 1\right)}\right)$$

                                x         
    x    3/4                3*10 *sin(2*x)
- 10 *cos   (2*x)*log(10) - --------------
                              4 __________
                            2*\/ cos(2*x)

$$- \frac{3 \cdot 10^{x} \sin{\left(2 x \right)}}{2 \sqrt[4]{\cos{\left(2 x \right)}}} - 10^{x} \log{\left(10 \right)} \cos^{\frac{3}{4}}{\left(2 x \right)}$$

                     3/4                            x              
    x /      1      \                           3*10               
- 10 *|-------------|   *log(10) - --------------------------------
      |   /pi      \|                      _______________         
      |csc|-- - 2*x||                     /       1                
      \   \2       //              2*    /  ------------- *csc(2*x)
                                        /      /pi      \          
                                     4 /    csc|-- - 2*x|          
                                     \/        \2       /

$$- 10^{x} \left(\frac{1}{\csc{\left(- 2 x + \frac{\pi}{2} \right)}}\right)^{\frac{3}{4}} \log{\left(10 \right)} - \frac{3 \cdot 10^{x}}{2 \sqrt[4]{\frac{1}{\csc{\left(- 2 x + \frac{\pi}{2} \right)}}} \csc{\left(2 x \right)}}$$

                    3/4                                             
      /        2   \                             x                  
    x |-1 + cot (x)|                         3*10 *cot(x)           
- 10 *|------------|   *log(10) - ----------------------------------
      |       2    |                    ______________              
      \1 + cot (x) /                   /         2                  
                                      /  -1 + cot (x)  /       2   \
                                     /   ------------ *\1 + cot (x)/
                                  4 /           2                   
                                  \/     1 + cot (x)

$$- 10^{x} \left(\frac{\cot^{2}{\left(x \right)} - 1}{\cot^{2}{\left(x \right)} + 1}\right)^{\frac{3}{4}} \log{\left(10 \right)} - \frac{3 \cdot 10^{x} \cot{\left(x \right)}}{\sqrt[4]{\frac{\cot^{2}{\left(x \right)} - 1}{\cot^{2}{\left(x \right)} + 1}} \left(\cot^{2}{\left(x \right)} + 1\right)}$$

-10^x*((-1 + cot(x)^2)/(1 + cot(x)^2))^(3/4)*log(10) - 3*10^x*cot(x)/(((-1 + cot(x)^2)/(1 + cot(x)^2))^(1/4)*(1 + cot(x)^2))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta (-3*10^x*sin(2x))/(2*(cos(2x))^(1/4))-10^x*ln(10)*(cos(2x))^(3/4) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta (-310^xsin(2x))/(2(cos(2x))^(1/4))-10^xln(10)*(cos(2x))^(3/4) expresión en fracciones?