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(y/(x*y-x^2)+x/(x*y-y^2))/(x^2+2*x*y+y^2)/(1/x+1/y)
(y/(x*y-x^2)+x/(x*y-y^2))/(((x^2+2*x*y+y^2)/(1/x+1/y)))
y/(y+2)+(1/(4-y^2)-1/(4-4*y+y^2))/2/(y-2)^2
y*(y+((1/(x+(x^2+y^2)^(1/2))*(1+(2*x/(2*(x^2+y^2)^(1/2)))))))
Factorizar el polinomio:
y^3-1/8
y^2+x*y-x^3+2*x^2-x*y^2+2*y^2
-y+a*y
y*x^2+x*z^2+z*y^2-y*z^2-x*y^2-z*x^2
Descomponer al cuadrado:
y^4+8*y^2-1
-y^4+7*y^2-4
y^4-8*y^2+1
y^4+8*y^2+1
Expresiones idénticas
atan(((dos *a^ dos + dos)*tan(x))/(dos *sqrt(a^ dos + uno)))/sqrt(a^ dos + uno)
arco tangente de gente de (((2 multiplicar por a al cuadrado más 2) multiplicar por tangente de (x)) dividir por (2 multiplicar por raíz cuadrada de (a al cuadrado más 1))) dividir por raíz cuadrada de (a al cuadrado más 1)
arco tangente de gente de (((dos multiplicar por a en el grado dos más dos) multiplicar por tangente de (x)) dividir por (dos multiplicar por raíz cuadrada de (a en el grado dos más uno))) dividir por raíz cuadrada de (a en el grado dos más uno)
atan(((2*a^2+2)*tan(x))/(2*√(a^2+1)))/√(a^2+1)
atan(((2*a2+2)*tan(x))/(2*sqrt(a2+1)))/sqrt(a2+1)
atan2*a2+2*tanx/2*sqrta2+1/sqrta2+1
atan(((2*a²+2)*tan(x))/(2*sqrt(a²+1)))/sqrt(a²+1)
atan(((2*a en el grado 2+2)*tan(x))/(2*sqrt(a en el grado 2+1)))/sqrt(a en el grado 2+1)
atan(((2a^2+2)tan(x))/(2sqrt(a^2+1)))/sqrt(a^2+1)
atan(((2a2+2)tan(x))/(2sqrt(a2+1)))/sqrt(a2+1)
atan2a2+2tanx/2sqrta2+1/sqrta2+1
atan2a^2+2tanx/2sqrta^2+1/sqrta^2+1
atan(((2*a^2+2)*tan(x)) dividir por (2*sqrt(a^2+1))) dividir por sqrt(a^2+1)
Expresiones semejantes
atan(((2*a^2+2)*tan(x))/(2*sqrt(a^2+1)))/sqrt(a^2-1)
atan(((2*a^2+2)*tan(x))/(2*sqrt(a^2-1)))/sqrt(a^2+1)
atan(((2*a^2-2)*tan(x))/(2*sqrt(a^2+1)))/sqrt(a^2+1)
arctan(((2*a^2+2)*tan(x))/(2*sqrt(a^2+1)))/sqrt(a^2+1)
Expresiones con funciones
Arcotangente arctan
atan(l/(2*r))
atan(6*x^3+1)^2+36*x^3*atan(6*x^3+1)/(1+(6*x^3+1)^2)
atan(((6*sin(x))/(1+cos(x))+2)/2^(5/2))/sqrt(2)
atan((2*sin(x))/(1+cos(x)))/2
atan(2^(-x))^3*(-1-2*x)/(x^2+x)^2-3*2^(-x)*atan(2^(-x))^2*log(2)/((1+2^(-2*x))*(x^2+x))
Tangente tan
tan(2*x)/(tan(4*x)-tan(2*x))
tan(2*a)/(tan(4*a)-tan(2)*a)
tan(16*pi/5)*tan(pi+a)-cos(pi/(2+a))*sin(pi+a)
tan(10/54)-(15*(157/50)/60*(27/10))*7/(x+14)*(x+12)-4*asin(x+10)-1/sqrt(x+8)
tan(3*n/2)*tan(n+a)-cos(n/(2+a))*sin(n+a)
Raíz cuadrada sqrt
sqrt(x*x-2*x-1)/2-(1+(x-1)/(x-1))/(x-1+(sqrt(x-1))^2-2)+(-1+x)*(x/2-1/2)/sqrt(x*x-2*x-1)
sqrt(x)+(x-3)/(2*sqrt(x))
sqrt((x/(x+1))^2)*(x+1)*(2/(x+1)-2*x/(x+1)^2)/(2*x)
sqrt(x^3/(x-3))*(x-3)*(-x^3/(2*(x-3)^2)+3*x^2/(2*(x-3)))/x^3
sqrt(x)*(5/x+3*sqrt(x)/2)+(5*log(x)+x^(3/2))/(2*sqrt(x))
Raíz cuadrada sqrt
sqrt(x*x-2*x-1)/2-(1+(x-1)/(x-1))/(x-1+(sqrt(x-1))^2-2)+(-1+x)*(x/2-1/2)/sqrt(x*x-2*x-1)
sqrt(x)+(x-3)/(2*sqrt(x))
sqrt((x/(x+1))^2)*(x+1)*(2/(x+1)-2*x/(x+1)^2)/(2*x)
sqrt(x^3/(x-3))*(x-3)*(-x^3/(2*(x-3)^2)+3*x^2/(2*(x-3)))/x^3
sqrt(x)*(5/x+3*sqrt(x)/2)+(5*log(x)+x^(3/2))/(2*sqrt(x))

Simplificación de expresiones/ Descomposición en fracciones simples/ atan(((2*a^2+2)*tan(x))/(2*sqrt(a^2+1)))/sqrt(a^2+1)

¿Cómo vas a descomponer esta atan(((2a^2+2)tan(x))/(2*sqrt(a^2+1)))/sqrt(a^2+1) expresión en fracciones?

Solución

Ha introducido [src]

    //   2    \       \
    |\2*a  + 2/*tan(x)|
atan|-----------------|
    |       ________  |
    |      /  2       |
    \  2*\/  a  + 1   /
-----------------------
         ________      
        /  2           
      \/  a  + 1

\frac{\operatorname{atan}{\left(\frac{\left(2 a^{2} + 2\right) \tan{\left(x \right)}}{2 \sqrt{a^{2} + 1}} \right)}}{\sqrt{a^{2} + 1}}

atan(((2*a^2 + 2)*tan(x))/((2*sqrt(a^2 + 1))))/sqrt(a^2 + 1)

Simplificación general [src]

    /   ________       \
    |  /      2        |
atan\\/  1 + a  *tan(x)/
------------------------
         ________       
        /      2        
      \/  1 + a

\frac{\operatorname{atan}{\left(\sqrt{a^{2} + 1} \tan{\left(x \right)} \right)}}{\sqrt{a^{2} + 1}}

atan(sqrt(1 + a^2)*tan(x))/sqrt(1 + a^2)

Respuesta numérica [src]

(1.0 + a^2)^(-0.5)*atan(((2*a^2 + 2)*tan(x))/((2*sqrt(a^2 + 1))))

(1.0 + a^2)^(-0.5)*atan(((2*a^2 + 2)*tan(x))/((2*sqrt(a^2 + 1))))

Potencias [src]

    /  /       2\ /   I*x    -I*x\\
    |I*\2 + 2*a /*\- e    + e    /|
atan|-----------------------------|
    |      ________               |
    |     /      2  / I*x    -I*x\|
    \ 2*\/  1 + a  *\e    + e    //
-----------------------------------
               ________            
              /      2             
            \/  1 + a

\frac{\operatorname{atan}{\left(\frac{i \left(2 a^{2} + 2\right) \left(- e^{i x} + e^{- i x}\right)}{2 \sqrt{a^{2} + 1} \left(e^{i x} + e^{- i x}\right)} \right)}}{\sqrt{a^{2} + 1}}

atan(i*(2 + 2*a^2)*(-exp(i*x) + exp(-i*x))/(2*sqrt(1 + a^2)*(exp(i*x) + exp(-i*x))))/sqrt(1 + a^2)

Denominador racional [src]

    /                2        \
    |   tan(x)      a *tan(x) |
atan|----------- + -----------|
    |   ________      ________|
    |  /      2      /      2 |
    \\/  1 + a     \/  1 + a  /
-------------------------------
             ________          
            /      2           
          \/  1 + a

\frac{\operatorname{atan}{\left(\frac{a^{2} \tan{\left(x \right)}}{\sqrt{a^{2} + 1}} + \frac{\tan{\left(x \right)}}{\sqrt{a^{2} + 1}} \right)}}{\sqrt{a^{2} + 1}}

atan(tan(x)/sqrt(1 + a^2) + a^2*tan(x)/sqrt(1 + a^2))/sqrt(1 + a^2)

Combinatoria [src]

    /                2        \
    |   tan(x)      a *tan(x) |
atan|----------- + -----------|
    |   ________      ________|
    |  /      2      /      2 |
    \\/  1 + a     \/  1 + a  /
-------------------------------
             ________          
            /      2           
          \/  1 + a

\frac{\operatorname{atan}{\left(\frac{a^{2} \tan{\left(x \right)}}{\sqrt{a^{2} + 1}} + \frac{\tan{\left(x \right)}}{\sqrt{a^{2} + 1}} \right)}}{\sqrt{a^{2} + 1}}

atan(tan(x)/sqrt(1 + a^2) + a^2*tan(x)/sqrt(1 + a^2))/sqrt(1 + a^2)

Unión de expresiones racionales [src]

    /   ________       \
    |  /      2        |
atan\\/  1 + a  *tan(x)/
------------------------
         ________       
        /      2        
      \/  1 + a

\frac{\operatorname{atan}{\left(\sqrt{a^{2} + 1} \tan{\left(x \right)} \right)}}{\sqrt{a^{2} + 1}}

atan(sqrt(1 + a^2)*tan(x))/sqrt(1 + a^2)

Abrimos la expresión [src]

    /                2        \
    |   tan(x)      a *tan(x) |
atan|----------- + -----------|
    |   ________      ________|
    |  /  2          /  2     |
    \\/  a  + 1    \/  a  + 1 /
-------------------------------
             ________          
            /  2               
          \/  a  + 1

\frac{\operatorname{atan}{\left(\frac{a^{2} \tan{\left(x \right)}}{\sqrt{a^{2} + 1}} + \frac{\tan{\left(x \right)}}{\sqrt{a^{2} + 1}} \right)}}{\sqrt{a^{2} + 1}}

atan(tan(x)/sqrt(a^2 + 1) + a^2*tan(x)/sqrt(a^2 + 1))/sqrt(a^2 + 1)

Denominador común [src]

    /   ________       \
    |  /      2        |
atan\\/  1 + a  *tan(x)/
------------------------
         ________       
        /      2        
      \/  1 + a

\frac{\operatorname{atan}{\left(\sqrt{a^{2} + 1} \tan{\left(x \right)} \right)}}{\sqrt{a^{2} + 1}}

atan(sqrt(1 + a^2)*tan(x))/sqrt(1 + a^2)

Parte trigonométrica [src]

    /   ________            \
    |  /      2     /pi    \|
    |\/  1 + a  *csc|-- - x||
    |               \2     /|
atan|-----------------------|
    \         csc(x)        /
-----------------------------
            ________         
           /      2          
         \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\sqrt{a^{2} + 1} \csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    /     ________        \
    |    /      2     2   |
    |2*\/  1 + a  *sin (x)|
atan|---------------------|
    \       sin(2*x)      /
---------------------------
           ________        
          /      2         
        \/  1 + a

\frac{\operatorname{atan}{\left(\frac{2 \sqrt{a^{2} + 1} \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    //       2\    /pi    \\
    |\2 + 2*a /*csc|-- - x||
    |              \2     /|
atan|----------------------|
    |      ________        |
    |     /      2         |
    \ 2*\/  1 + a  *csc(x) /
----------------------------
           ________         
          /      2          
        \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\left(2 a^{2} + 2\right) \csc{\left(- x + \frac{\pi}{2} \right)}}{2 \sqrt{a^{2} + 1} \csc{\left(x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    /   ________            \
    |  /      2     /    pi\|
    |\/  1 + a  *cos|x - --||
    |               \    2 /|
atan|-----------------------|
    \         cos(x)        /
-----------------------------
            ________         
           /      2          
         \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\sqrt{a^{2} + 1} \cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    / /       2\         \
    | \2 + 2*a /*sin(x)  |
atan|--------------------|
    |     ________       |
    |    /      2        |
    \2*\/  1 + a  *cos(x)/
--------------------------
          ________        
         /      2         
       \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\left(2 a^{2} + 2\right) \sin{\left(x \right)}}{2 \sqrt{a^{2} + 1} \cos{\left(x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    //       2\    /    pi\\
    |\2 + 2*a /*cos|x - --||
    |              \    2 /|
atan|----------------------|
    |      ________        |
    |     /      2         |
    \ 2*\/  1 + a  *cos(x) /
----------------------------
           ________         
          /      2          
        \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\left(2 a^{2} + 2\right) \cos{\left(x - \frac{\pi}{2} \right)}}{2 \sqrt{a^{2} + 1} \cos{\left(x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    /             2      \
    |      2 + 2*a       |
atan|--------------------|
    |     ________       |
    |    /      2        |
    \2*\/  1 + a  *cot(x)/
--------------------------
          ________        
         /      2         
       \/  1 + a

\frac{\operatorname{atan}{\left(\frac{2 a^{2} + 2}{2 \sqrt{a^{2} + 1} \cot{\left(x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    /   ________       \
    |  /      2        |
    |\/  1 + a  *sec(x)|
atan|------------------|
    |      /    pi\    |
    |   sec|x - --|    |
    \      \    2 /    /
------------------------
         ________       
        /      2        
      \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\sqrt{a^{2} + 1} \sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}} \right)}}{\sqrt{a^{2} + 1}}

    /    2    /       2\ \
    | sin (x)*\2 + 2*a / |
atan|--------------------|
    |   ________         |
    |  /      2          |
    \\/  1 + a  *sin(2*x)/
--------------------------
          ________        
         /      2         
       \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\left(2 a^{2} + 2\right) \sin^{2}{\left(x \right)}}{\sqrt{a^{2} + 1} \sin{\left(2 x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    /   ________\
    |  /      2 |
    |\/  1 + a  |
atan|-----------|
    \   cot(x)  /
-----------------
      ________   
     /      2    
   \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\sqrt{a^{2} + 1}}{\cot{\left(x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    / /       2\         \
    | \2 + 2*a /*sec(x)  |
atan|--------------------|
    |     ________       |
    |    /      2        |
    \2*\/  1 + a  *csc(x)/
--------------------------
          ________        
         /      2         
       \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\left(2 a^{2} + 2\right) \sec{\left(x \right)}}{2 \sqrt{a^{2} + 1} \csc{\left(x \right)}} \right)}}{\sqrt{a^{2} + 1}}

    /   ________       \
    |  /      2        |
atan\\/  1 + a  *tan(x)/
------------------------
         ________       
        /  2            
      \/  a  + 1

\frac{\operatorname{atan}{\left(\sqrt{a^{2} + 1} \tan{\left(x \right)} \right)}}{\sqrt{a^{2} + 1}}

    /   ________       \
    |  /      2        |
atan\\/  1 + a  *tan(x)/
------------------------
         ________       
        /      2        
      \/  1 + a

\frac{\operatorname{atan}{\left(\sqrt{a^{2} + 1} \tan{\left(x \right)} \right)}}{\sqrt{a^{2} + 1}}

    /    /       2\           \
    |    \2 + 2*a /*sec(x)    |
atan|-------------------------|
    |     ________            |
    |    /      2     /    pi\|
    |2*\/  1 + a  *sec|x - --||
    \                 \    2 //
-------------------------------
             ________          
            /      2           
          \/  1 + a

\frac{\operatorname{atan}{\left(\frac{\left(2 a^{2} + 2\right) \sec{\left(x \right)}}{2 \sqrt{a^{2} + 1} \sec{\left(x - \frac{\pi}{2} \right)}} \right)}}{\sqrt{a^{2} + 1}}

atan((2 + 2*a^2)*sec(x)/(2*sqrt(1 + a^2)*sec(x - pi/2)))/sqrt(1 + a^2)

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta atan(((2*a^2+2)*tan(x))/(2*sqrt(a^2+1)))/sqrt(a^2+1) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta atan(((2a^2+2)tan(x))/(2*sqrt(a^2+1)))/sqrt(a^2+1) expresión en fracciones?