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How to use it?
Least common denominator:
((x*x)*x-15*x)*(-2*x/((x*x)*x-15*x)+(5-x*x)*(15-x^2-2*x^2)/((x*x)*x-15*x)^2)/(4*(5-x*x))
x+(6-x^2/1+x)/6+x/(x^2-1)
(x^2+4/x^x^2-4*x+4+x-2/2-x)/4/x^2-4
(x/216+5*3^(1/2)/144)/(7776*x-97200*3^(1/2))
Factor polynomial:
y^m+4-y^m-1+y^5-1
-y+a*y
y^4-25
y^3+x/3
Factor squared:
-y^4+5*y^2-2
y^4+5*y^2-10
y^4+4*y^2+9
y^4-4*y^2-8
How do you in partial fractions?:
(t^3+1)/(t^2-t+t)
((5x+y)/(x-5y)+(5x-y)/(x+5y)):((x^2+y^2)/(x^2-25y^2))
(4x^2-19x+12)/(x^3-64)
(3*n-1)/(5*n+4)
How do you in partial fractions?:
(x/216+5*3^(1/2)/144)/(7776*x-97200*3^(1/2))
Identical expressions
(x/ two hundred and sixteen + five * three ^(one / two)/ one hundred and forty-four)/(seven thousand, seven hundred and seventy-six *x- ninety-seven thousand, two hundred * three ^(one / two))
(x divide by 216 plus 5 multiply by 3 to the power of (1 divide by 2) divide by 144) divide by (7776 multiply by x minus 97200 multiply by 3 to the power of (1 divide by 2))
(x divide by two hundred and sixteen plus five multiply by three to the power of (one divide by two) divide by one hundred and forty minus four) divide by (seven thousand, seven hundred and seventy minus six multiply by x minus ninety minus seven thousand, two hundred multiply by three to the power of (one divide by two))
(x/216+5*3(1/2)/144)/(7776*x-97200*3(1/2))
x/216+5*31/2/144/7776*x-97200*31/2
(x/216+53^(1/2)/144)/(7776x-972003^(1/2))
(x/216+53(1/2)/144)/(7776x-972003(1/2))
x/216+531/2/144/7776x-9720031/2
x/216+53^1/2/144/7776x-972003^1/2
(x divide by 216+5*3^(1 divide by 2) divide by 144) divide by (7776*x-97200*3^(1 divide by 2))
Similar expressions
(x/216-5*3^(1/2)/144)/(7776*x-97200*3^(1/2))
(x/216+5*3^(1/2)/144)/(7776*x+97200*3^(1/2))

Expression simplification/ Least common denominator/ (x/216+5*3^(1/2)/144)/(7776*x-97200*3^(1/2))

Least common denominator (x/216+53^(1/2)/144)/(7776x-97200*3^(1/2))

The solution

You have entered [src]

             ___    
    x    5*\/ 3     
   --- + -------    
   216     144      
--------------------
                 ___
7776*x - 97200*\/ 3

$$\frac{\frac{x}{216} + \frac{5 \sqrt{3}}{144}}{7776 x - 97200 \sqrt{3}}$$

(x/216 + (5*sqrt(3))/144)/(7776*x - 97200*sqrt(3))

Fraction decomposition [src]

1/1679616 + 5*sqrt(3)/(209952*(-25*sqrt(3) + 2*x))

$$\frac{1}{1679616} + \frac{5 \sqrt{3}}{209952 \left(2 x - 25 \sqrt{3}\right)}$$

                       ___         
   1               5*\/ 3          
------- + -------------------------
1679616          /       ___      \
          209952*\- 25*\/ 3  + 2*x/

General simplification [src]

                 ___      
      2*x + 15*\/ 3       
--------------------------
        /       ___      \
1679616*\- 25*\/ 3  + 2*x/

$$\frac{2 x + 15 \sqrt{3}}{1679616 \left(2 x - 25 \sqrt{3}\right)}$$

(2*x + 15*sqrt(3))/(1679616*(-25*sqrt(3) + 2*x))

Rational denominator [src]

          2          ___
1125 + 4*x  + 80*x*\/ 3 
------------------------
                       2
-3149280000 + 6718464*x

$$\frac{4 x^{2} + 80 \sqrt{3} x + 1125}{6718464 x^{2} - 3149280000}$$

(1125 + 4*x^2 + 80*x*sqrt(3))/(-3149280000 + 6718464*x^2)

Combining rational expressions [src]

                 ___      
      2*x + 15*\/ 3       
--------------------------
        /       ___      \
1679616*\- 25*\/ 3  + 2*x/

$$\frac{2 x + 15 \sqrt{3}}{1679616 \left(2 x - 25 \sqrt{3}\right)}$$

(2*x + 15*sqrt(3))/(1679616*(-25*sqrt(3) + 2*x))

Numerical answer [src]

(0.060140653040586 + 0.00462962962962963*x)/(-168355.338495695 + 7776.0*x)

(0.060140653040586 + 0.00462962962962963*x)/(-168355.338495695 + 7776.0*x)

Combinatorics [src]

                 ___      
      2*x + 15*\/ 3       
--------------------------
        /       ___      \
1679616*\- 25*\/ 3  + 2*x/

$$\frac{2 x + 15 \sqrt{3}}{1679616 \left(2 x - 25 \sqrt{3}\right)}$$

(2*x + 15*sqrt(3))/(1679616*(-25*sqrt(3) + 2*x))

Common denominator [src]

                       ___          
   1               5*\/ 3           
------- + --------------------------
1679616               ___           
          - 5248800*\/ 3  + 419904*x

$$\frac{1}{1679616} + \frac{5 \sqrt{3}}{419904 x - 5248800 \sqrt{3}}$$

1/1679616 + 5*sqrt(3)/(-5248800*sqrt(3) + 419904*x)

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How to use it?

Identical expressions

Similar expressions

Least common denominator (x/216+5*3^(1/2)/144)/(7776*x-97200*3^(1/2))

The solution

Least common denominator (x/216+53^(1/2)/144)/(7776x-97200*3^(1/2))