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Least common denominator:
5*(2-2/x^2)*cos(2*x+2/x)
sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))^2)
(x^5+2*x^(3/4))*(10*x^4+4/(3*x^(2/3)))+(2*x^5+4*x^(1/3))*(5*x^4+3/(2*x^(1/4)))
(z*z-1/2*z)/(z*z-z+1)*z/(z-1/2)
Factor polynomial:
x^6-x^4-x^2+1
z^3+z^2/10-z/4-1/40
x^6+y^6
x^2+8
Factor squared:
-y^4-y^2+15
y^4-y^2+1
y^4+8*y^2-4
x^2-2*x+1
How do you in partial fractions?:
y/(y+2)+(1/(4-y^2)-1/(4-4*y+y^2))/(2/(y-2)^2)
-10-7*((x-2)/2-3/(x-2))+18/(x-2)^2+(x-2)^2/2
(z^2-4*z+16)/(16*z^2-1)*(4*z^2+z)/(z^3+64)-(z+4)/(4*z^2-z)/7/(z^2+4*z)-(20*z+13)/(7-28*z)
(z/c+c/z)/((z^2+c^2)/(5*z^9*c))
Identical expressions
sqrt(m)/(m- sixteen)-sqrt(m)/((four -sqrt(m))^ two)
square root of (m) divide by (m minus 16) minus square root of (m) divide by ((4 minus square root of (m)) squared )
square root of (m) divide by (m minus sixteen) minus square root of (m) divide by ((four minus square root of (m)) to the power of two)
√(m)/(m-16)-√(m)/((4-√(m))^2)
sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))2)
sqrtm/m-16-sqrtm/4-sqrtm2
sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))²)
sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m)) to the power of 2)
sqrtm/m-16-sqrtm/4-sqrtm^2
sqrt(m) divide by (m-16)-sqrt(m) divide by ((4-sqrt(m))^2)
Similar expressions
sqrt(m)/(m-16)+sqrt(m)/((4-sqrt(m))^2)
sqrt(m)/(m+16)-sqrt(m)/((4-sqrt(m))^2)
sqrt(m)/(m-16)-sqrt(m)/((4+sqrt(m))^2)

Expression simplification/ Least common denominator/ sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))^2)

Least common denominator sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))^2)

The solution

You have entered [src]

  ___         ___    
\/ m        \/ m     
------ - ------------
m - 16              2
         /      ___\ 
         \4 - \/ m /

$$\frac{\sqrt{m}}{m - 16} - \frac{\sqrt{m}}{\left(4 - \sqrt{m}\right)^{2}}$$

sqrt(m)/(m - 16) - sqrt(m)/(4 - sqrt(m))^2

General simplification [src]

      /                 2    \
  ___ |     /       ___\     |
\/ m *\16 + \-4 + \/ m /  - m/
------------------------------
                         2    
             /       ___\     
   (-16 + m)*\-4 + \/ m /

$$\frac{\sqrt{m} \left(- m + \left(\sqrt{m} - 4\right)^{2} + 16\right)}{\left(\sqrt{m} - 4\right)^{2} \left(m - 16\right)}$$

sqrt(m)*(16 + (-4 + sqrt(m))^2 - m)/((-16 + m)*(-4 + sqrt(m))^2)

Rational denominator [src]

                  2                       2                     2            2
   3/2 /      ___\         ___ /      ___\      ___ /       ___\  /      ___\ 
- m   *\4 + \/ m /  + 16*\/ m *\4 + \/ m /  + \/ m *\-4 + \/ m / *\4 + \/ m / 
------------------------------------------------------------------------------
                                           3                                  
                                  (-16 + m)

$$\frac{- m^{\frac{3}{2}} \left(\sqrt{m} + 4\right)^{2} + \sqrt{m} \left(\sqrt{m} - 4\right)^{2} \left(\sqrt{m} + 4\right)^{2} + 16 \sqrt{m} \left(\sqrt{m} + 4\right)^{2}}{\left(m - 16\right)^{3}}$$

(-m^(3/2)*(4 + sqrt(m))^2 + 16*sqrt(m)*(4 + sqrt(m))^2 + sqrt(m)*(-4 + sqrt(m))^2*(4 + sqrt(m))^2)/(-16 + m)^3

Numerical answer [src]

m^0.5/(-16.0 + m) - 0.0625*m^0.5/(1 - 0.25*m^0.5)^2

m^0.5/(-16.0 + m) - 0.0625*m^0.5/(1 - 0.25*m^0.5)^2

Combinatorics [src]

            ___       
       -8*\/ m        
----------------------
          /       ___\
(-16 + m)*\-4 + \/ m /

$$- \frac{8 \sqrt{m}}{\left(\sqrt{m} - 4\right) \left(m - 16\right)}$$

-8*sqrt(m)/((-16 + m)*(-4 + sqrt(m)))

Common denominator [src]

      /       ___      \      
     -\- 32*\/ m  + 8*m/      
------------------------------
        2      3/2         ___
-256 + m  - 8*m    + 128*\/ m

$$- \frac{- 32 \sqrt{m} + 8 m}{- 8 m^{\frac{3}{2}} + 128 \sqrt{m} + m^{2} - 256}$$

-(-32*sqrt(m) + 8*m)/(-256 + m^2 - 8*m^(3/2) + 128*sqrt(m))

Combining rational expressions [src]

      /                2    \
  ___ |     /      ___\     |
\/ m *\16 + \4 - \/ m /  - m/
-----------------------------
                         2   
              /      ___\    
    (-16 + m)*\4 - \/ m /

$$\frac{\sqrt{m} \left(- m + \left(4 - \sqrt{m}\right)^{2} + 16\right)}{\left(4 - \sqrt{m}\right)^{2} \left(m - 16\right)}$$

sqrt(m)*(16 + (4 - sqrt(m))^2 - m)/((-16 + m)*(4 - sqrt(m))^2)

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Identical expressions

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Least common denominator sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))^2)

The solution