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(s+3)/(5*s+15)
c^(k+5)*c^k/(c^2)^k
-2/((((x+1)^2/(1-x)^2)+1)*(1-x)^2)
(z+1)/(z+2)^3/(z-1)
Factorizar el polinomio:
y^3+y
y^3-6*y^2*x+12*y*x^2-8*x^3
z^3+5*z^2
y^3-3*y^2+6*y-8
Descomponer al cuadrado:
-y^4+8*y^2+2
y^4+8*y^2-3
-y^4-7*y^2-9
y^4+8*y^2-1
Expresiones idénticas
asin(x/(sqrt(seis)*|x+ dos |)+ siete /(sqrt(seis)*|x+ dos |))/ cinco ^(tres / dos)+sqrt(x^ dos + dos *x- cinco)/(diez + cinco *x)
ar coseno de eno de (x dividir por ( raíz cuadrada de (6) multiplicar por módulo de x más 2|) más 7 dividir por ( raíz cuadrada de (6) multiplicar por |x más 2|)) dividir por 5 en el grado (3 dividir por 2) más raíz cuadrada de (x al cuadrado más 2 multiplicar por x menos 5) dividir por (10 más 5 multiplicar por x)
ar coseno de eno de (x dividir por ( raíz cuadrada de (seis) multiplicar por módulo de x más dos |) más siete dividir por ( raíz cuadrada de (seis) multiplicar por |x más dos |)) dividir por cinco en el grado (tres dividir por dos) más raíz cuadrada de (x en el grado dos más dos multiplicar por x menos cinco) dividir por (diez más cinco multiplicar por x)
asin(x/(√(6)*|x+2|)+7/(√(6)*|x+2|))/5^(3/2)+√(x^2+2*x-5)/(10+5*x)
asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5(3/2)+sqrt(x2+2*x-5)/(10+5*x)
asinx/sqrt6*|x+2|+7/sqrt6*|x+2|/53/2+sqrtx2+2*x-5/10+5*x
asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x²+2*x-5)/(10+5*x)
asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5 en el grado (3/2)+sqrt(x en el grado 2+2*x-5)/(10+5*x)
asin(x/(sqrt(6)|x+2|)+7/(sqrt(6)|x+2|))/5^(3/2)+sqrt(x^2+2x-5)/(10+5x)
asin(x/(sqrt(6)|x+2|)+7/(sqrt(6)|x+2|))/5(3/2)+sqrt(x2+2x-5)/(10+5x)
asinx/sqrt6|x+2|+7/sqrt6|x+2|/53/2+sqrtx2+2x-5/10+5x
asinx/sqrt6|x+2|+7/sqrt6|x+2|/5^3/2+sqrtx^2+2x-5/10+5x
asin(x dividir por (sqrt(6)*|x+2|)+7 dividir por (sqrt(6)*|x+2|)) dividir por 5^(3 dividir por 2)+sqrt(x^2+2*x-5) dividir por (10+5*x)
Expresiones semejantes
asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x^2-2*x-5)/(10+5*x)
asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x^2+2*x-5)/(10-5*x)
asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x^2+2*x+5)/(10+5*x)
asin(x/(sqrt(6)*|x-2|)+7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x)
asin(x/(sqrt(6)*|x+2|)-7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x)
asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5^(3/2)-sqrt(x^2+2*x-5)/(10+5*x)
asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x-2|))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x)
arcsin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x)
Expresiones con funciones
Arcoseno arcsin
asin(sqrt(x))+(x-(1/2))/(2*sqrt(x-x^2))-x/(2*sqrt(x-x^2))
asin(x)^2*(log(x+1)/4-log(x-1)/4-x/(2*x^2-2))
asin(x)^2*(10-2*x)/(5-x)^4+2*asin(x)/(sqrt(1-x^2)*(5-x)^2)
asin(x)^(1/4)/x+20*(1-cos(x)^2)^9*cos(x)*sin(x)+log(x)/(4*sqrt(1-x^2)*asin(x)^(3/4))
asin(5*x)^4/(3*(x-4)^(2/3))+20*(x-4)^(1/3)*asin(5*x)^3/sqrt(1-25*x^2)
Raíz cuadrada sqrt
sqrt(x/(x+1))*(x+1)*(1/(2*(x+1))-x/(2*(x+1)^2))/(x*sqrt(1-x/(x+1)))
sqrt((x-9)/(x+9))*(x+9)*(1/(2*(x+9))-(x-9)/(2*(x+9)^2))/(x-9)
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)
Raíz cuadrada sqrt
sqrt(x/(x+1))*(x+1)*(1/(2*(x+1))-x/(2*(x+1)^2))/(x*sqrt(1-x/(x+1)))
sqrt((x-9)/(x+9))*(x+9)*(1/(2*(x+9))-(x-9)/(2*(x+9)^2))/(x-9)
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)
Raíz cuadrada sqrt
sqrt(x/(x+1))*(x+1)*(1/(2*(x+1))-x/(2*(x+1)^2))/(x*sqrt(1-x/(x+1)))
sqrt((x-9)/(x+9))*(x+9)*(1/(2*(x+9))-(x-9)/(2*(x+9)^2))/(x-9)
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)

Simplificación de expresiones/ Descomposición en fracciones simples/ asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x)

¿Cómo vas a descomponer esta asin(x/(sqrt(6)|x+2|)+7/(sqrt(6)|x+2|))/5^(3/2)+sqrt(x^2+2x-5)/(10+5x) expresión en fracciones?

Solución

Ha introducido [src]

    /      x               7      \                    
asin|------------- + -------------|      ______________
    |  ___             ___        |     /  2           
    \\/ 6 *|x + 2|   \/ 6 *|x + 2|/   \/  x  + 2*x - 5 
----------------------------------- + -----------------
                 3/2                       10 + 5*x    
                5

$$\frac{\operatorname{asin}{\left(\frac{x}{\sqrt{6} \left|{x + 2}\right|} + \frac{7}{\sqrt{6} \left|{x + 2}\right|} \right)}}{5^{\frac{3}{2}}} + \frac{\sqrt{\left(x^{2} + 2 x\right) - 5}}{5 x + 10}$$

asin(x/((sqrt(6)*|x + 2|)) + 7/((sqrt(6)*|x + 2|)))/5^(3/2) + sqrt(x^2 + 2*x - 5)/(10 + 5*x)

Simplificación general [src]

     _______________                     /  ___        \
    /       2            ___             |\/ 6 *(7 + x)|
5*\/  -5 + x  + 2*x  + \/ 5 *(2 + x)*asin|-------------|
                                         \  6*|2 + x|  /
--------------------------------------------------------
                       25*(2 + x)

$$\frac{\sqrt{5} \left(x + 2\right) \operatorname{asin}{\left(\frac{\sqrt{6} \left(x + 7\right)}{6 \left|{x + 2}\right|} \right)} + 5 \sqrt{x^{2} + 2 x - 5}}{25 \left(x + 2\right)}$$

(5*sqrt(-5 + x^2 + 2*x) + sqrt(5)*(2 + x)*asin(sqrt(6)*(7 + x)/(6*|2 + x|)))/(25*(2 + x))

Respuesta numérica [src]

0.0894427190999916*asin(x/((sqrt(6)*|x + 2|)) + 7/((sqrt(6)*|x + 2|))) + 2.23606797749979*(-1 + 0.2*x^2 + 0.4*x)^0.5/(10.0 + 5.0*x)

0.0894427190999916*asin(x/((sqrt(6)*|x + 2|)) + 7/((sqrt(6)*|x + 2|))) + 2.23606797749979*(-1 + 0.2*x^2 + 0.4*x)^0.5/(10.0 + 5.0*x)

Abrimos la expresión [src]

   ______________                                    
  /  2                ___     /     ___         ___ \
\/  x  + 2*x - 5    \/ 5      | 7*\/ 6      x*\/ 6  |
----------------- + -----*asin|--------- + ---------|
     10 + 5*x         25      \6*|x + 2|   6*|x + 2|/

$$\frac{\sqrt{5}}{25} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)} + \frac{\sqrt{\left(x^{2} + 2 x\right) - 5}}{5 x + 10}$$

sqrt(x^2 + 2*x - 5)/(10 + 5*x) + (sqrt(5)/25)*asin(7*sqrt(6)/(6*|x + 2|) + x*sqrt(6)/(6*|x + 2|))

Compilar la expresión [src]

                       ___     /      x               7      \
   _______________   \/ 5 *asin|------------- + -------------|
  /       2                    |  ___             ___        |
\/  -5 + x  + 2*x              \\/ 6 *|x + 2|   \/ 6 *|x + 2|/
------------------ + -----------------------------------------
     10 + 5*x                            25

$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{x}{\sqrt{6} \left|{x + 2}\right|} + \frac{7}{\sqrt{6} \left|{x + 2}\right|} \right)}}{25} + \frac{\sqrt{x^{2} + 2 x - 5}}{5 x + 10}$$

sqrt(-5 + x^2 + 2*x)/(10 + 5*x) + sqrt(5)*asin(x/((sqrt(6)*|x + 2|)) + 7/((sqrt(6)*|x + 2|)))/25

Parte trigonométrica [src]

                               /     ___         ___ \
   _______________     ___     | 7*\/ 6      x*\/ 6  |
  /       2          \/ 5 *asin|--------- + ---------|
\/  -5 + x  + 2*x              \6*|2 + x|   6*|2 + x|/
------------------ + ---------------------------------
     10 + 5*x                        25

$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25} + \frac{\sqrt{x^{2} + 2 x - 5}}{5 x + 10}$$

sqrt(-5 + x^2 + 2*x)/(10 + 5*x) + sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|))/25

Combinatoria [src]

     _______________               /     ___         ___ \               /     ___         ___ \
    /       2              ___     | 7*\/ 6      x*\/ 6  |       ___     | 7*\/ 6      x*\/ 6  |
5*\/  -5 + x  + 2*x  + 2*\/ 5 *asin|--------- + ---------| + x*\/ 5 *asin|--------- + ---------|
                                   \6*|2 + x|   6*|2 + x|/               \6*|2 + x|   6*|2 + x|/
------------------------------------------------------------------------------------------------
                                           25*(2 + x)

$$\frac{\sqrt{5} x \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)} + 5 \sqrt{x^{2} + 2 x - 5} + 2 \sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25 \left(x + 2\right)}$$

(5*sqrt(-5 + x^2 + 2*x) + 2*sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|)) + x*sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|)))/(25*(2 + x))

Denominador común [src]

                               /     ___         ___ \
   _______________     ___     | 7*\/ 6      x*\/ 6  |
  /       2          \/ 5 *asin|--------- + ---------|
\/  -5 + x  + 2*x              \6*|2 + x|   6*|2 + x|/
------------------ + ---------------------------------
     10 + 5*x                        25

$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25} + \frac{\sqrt{x^{2} + 2 x - 5}}{5 x + 10}$$

sqrt(-5 + x^2 + 2*x)/(10 + 5*x) + sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|))/25

Denominador racional [src]

     _______________               /     ___         ___ \               /     ___         ___ \
    /       2              ___     | 7*\/ 6      x*\/ 6  |       ___     | 7*\/ 6      x*\/ 6  |
5*\/  -5 + x  + 2*x  + 2*\/ 5 *asin|--------- + ---------| + x*\/ 5 *asin|--------- + ---------|
                                   \6*|2 + x|   6*|2 + x|/               \6*|2 + x|   6*|2 + x|/
------------------------------------------------------------------------------------------------
                                           50 + 25*x

(5*sqrt(-5 + x^2 + 2*x) + 2*sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|)) + x*sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|)))/(50 + 25*x)

Potencias [src]

                               /     ___         ___ \
   _______________     ___     | 7*\/ 6      x*\/ 6  |
  /       2          \/ 5 *asin|--------- + ---------|
\/  -5 + x  + 2*x              \6*|2 + x|   6*|2 + x|/
------------------ + ---------------------------------
     10 + 5*x                        25

$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25} + \frac{\sqrt{x^{2} + 2 x - 5}}{5 x + 10}$$

sqrt(-5 + x^2 + 2*x)/(10 + 5*x) + sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|))/25

Unión de expresiones racionales [src]

                                         /  ___        \
    ________________     ___             |\/ 6 *(7 + x)|
5*\/ -5 + x*(2 + x)  + \/ 5 *(2 + x)*asin|-------------|
                                         \  6*|2 + x|  /
--------------------------------------------------------
                       25*(2 + x)

$$\frac{\sqrt{5} \left(x + 2\right) \operatorname{asin}{\left(\frac{\sqrt{6} \left(x + 7\right)}{6 \left|{x + 2}\right|} \right)} + 5 \sqrt{x \left(x + 2\right) - 5}}{25 \left(x + 2\right)}$$

(5*sqrt(-5 + x*(2 + x)) + sqrt(5)*(2 + x)*asin(sqrt(6)*(7 + x)/(6*|2 + x|)))/(25*(2 + x))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta asin(x/(sqrt(6)*|x+2|)+7/(sqrt(6)*|x+2|))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta asin(x/(sqrt(6)|x+2|)+7/(sqrt(6)|x+2|))/5^(3/2)+sqrt(x^2+2x-5)/(10+5x) expresión en fracciones?