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Least common denominator:
(x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x+1)
((x*x^(1/2)-x)^3)/((((x^(3/4)-1)/(x^(1/4)-1)-x^(1/2))*(1-x))^3)
Factor polynomial:
y^5-32
y^n+3-y-1+y^n+1
x^4-5*x^3+6*x^2-10*x+8
t^4/4+4*t^3/3
Factor squared:
y^4+y^2+9
-y^4-y^2+8
-y^2-4*y-3
x^2-x*a+4*a^2
How do you in partial fractions?:
y/(b*y-2*b^2)-2/(y^2+y-2*b*y-2*b)*(1+(3*y+y^2)/(3+y))
(((2s-2+2*s^2)/(-s*(2+s^2+2*s)))+((-2s^2+2s-6))/((s*(s^2+2*s+2))))*1/s-2/s
(4x^2-3x+1)/(x^4+x^2)
2/x+(3*x-2)/(x+1)
Identical expressions
(x*(x- one)^ two)^(one / three)*((x- one)^ two / three +x*(- two + two *x)/ three)/(x*(x- one)^ two)
(x multiply by (x minus 1) squared ) to the power of (1 divide by 3) multiply by ((x minus 1) squared divide by 3 plus x multiply by ( minus 2 plus 2 multiply by x) divide by 3) divide by (x multiply by (x minus 1) squared )
(x multiply by (x minus one) to the power of two) to the power of (one divide by three) multiply by ((x minus one) to the power of two divide by three plus x multiply by ( minus two plus two multiply by x) divide by three) divide by (x multiply by (x minus one) to the power of two)
(x*(x-1)2)(1/3)*((x-1)2/3+x*(-2+2*x)/3)/(x*(x-1)2)
x*x-121/3*x-12/3+x*-2+2*x/3/x*x-12
(x*(x-1)²)^(1/3)*((x-1)²/3+x*(-2+2*x)/3)/(x*(x-1)²)
(x*(x-1) to the power of 2) to the power of (1/3)*((x-1) to the power of 2/3+x*(-2+2*x)/3)/(x*(x-1) to the power of 2)
(x(x-1)^2)^(1/3)((x-1)^2/3+x(-2+2x)/3)/(x(x-1)^2)
(x(x-1)2)(1/3)((x-1)2/3+x(-2+2x)/3)/(x(x-1)2)
xx-121/3x-12/3+x-2+2x/3/xx-12
xx-1^2^1/3x-1^2/3+x-2+2x/3/xx-1^2
(x*(x-1)^2)^(1 divide by 3)*((x-1)^2 divide by 3+x*(-2+2*x) divide by 3) divide by (x*(x-1)^2)
Similar expressions
(x*(x+1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
(x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x+1)^2)
(x*(x-1)^2)^(1/3)*((x-1)^2/3-x*(-2+2*x)/3)/(x*(x-1)^2)
(x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(2+2*x)/3)/(x*(x-1)^2)
(x*(x-1)^2)^(1/3)*((x+1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
(x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2-2*x)/3)/(x*(x-1)^2)

Expression simplification/ Least common denominator/ (x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)

Least common denominator (x(x-1)^2)^(1/3)((x-1)^2/3+x(-2+2x)/3)/(x*(x-1)^2)

The solution

You have entered [src]

   ____________ /       2               \
3 /          2  |(x - 1)    x*(-2 + 2*x)|
\/  x*(x - 1)  *|-------- + ------------|
                \   3            3      /
-----------------------------------------
                         2               
                x*(x - 1)

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

((x*(x - 1)^2)^(1/3)*((x - 1)^2/3 + (x*(-2 + 2*x))/3))/((x*(x - 1)^2))

General simplification [src]

   _____________           
3 /           2            
\/  x*(-1 + x)  *(-1/3 + x)
---------------------------
         x*(-1 + x)

$$\frac{\sqrt[3]{x \left(x - 1\right)^{2}} \left(x - \frac{1}{3}\right)}{x \left(x - 1\right)}$$

(x*(-1 + x)^2)^(1/3)*(-1/3 + x)/(x*(-1 + x))

Rational denominator [src]

   _____________                           
3 /           2  /        2               \
\/  x*(-1 + x)  *\(-1 + x)  + x*(-2 + 2*x)/
-------------------------------------------
                           2               
               3*x*(-1 + x)

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

(x*(-1 + x)^2)^(1/3)*((-1 + x)^2 + x*(-2 + 2*x))/(3*x*(-1 + x)^2)

Combinatorics [src]

   _____________           
3 /           2            
\/  x*(-1 + x)  *(-1 + 3*x)
---------------------------
        3*x*(-1 + x)

$$\frac{\sqrt[3]{x \left(x - 1\right)^{2}} \left(3 x - 1\right)}{3 x \left(x - 1\right)}$$

(x*(-1 + x)^2)^(1/3)*(-1 + 3*x)/(3*x*(-1 + x))

Combining rational expressions [src]

   _____________                     
3 /           2             /  1   x\
\/  x*(-1 + x)  *(-1 + 3*x)*|- - + -|
                            \  3   3/
-------------------------------------
                       2             
             x*(-1 + x)

$$\frac{\sqrt[3]{x \left(x - 1\right)^{2}} \left(\frac{x}{3} - \frac{1}{3}\right) \left(3 x - 1\right)}{x \left(x - 1\right)^{2}}$$

(x*(-1 + x)^2)^(1/3)*(-1 + 3*x)*(-1/3 + x/3)/(x*(-1 + x)^2)

Expand expression [src]

   __________ /       2               \
3 /        2  |(x - 1)    x*(-2 + 2*x)|
\/  (x - 1)  *|-------- + ------------|
              \   3            3      /
---------------------------------------
              2/3        2             
             x   *(x - 1)

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

((x - 1)^2)^(1/3)*((x - 1)^2/3 + (x*(-2 + 2*x))/3)/(x^(2/3)*(x - 1)^2)

Numerical answer [src]

(x*(-1.0 + x)^2)^0.333333333333333*(0.333333333333333*(-1.0 + x)^2 + 0.333333333333333*x*(-2.0 + 2.0*x))/(x*(-1.0 + x)^2)

(x*(-1.0 + x)^2)^0.333333333333333*(0.333333333333333*(-1.0 + x)^2 + 0.333333333333333*x*(-2.0 + 2.0*x))/(x*(-1.0 + x)^2)

Common denominator [src]

     _______________          _______________
  3 /      3      2        3 /      3      2 
- \/  x + x  - 2*x   + 3*x*\/  x + x  - 2*x  
---------------------------------------------
                           2                 
                 -3*x + 3*x

$$\frac{3 x \sqrt[3]{x^{3} - 2 x^{2} + x} - \sqrt[3]{x^{3} - 2 x^{2} + x}}{3 x^{2} - 3 x}$$

(-(x + x^3 - 2*x^2)^(1/3) + 3*x*(x + x^3 - 2*x^2)^(1/3))/(-3*x + 3*x^2)

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Identical expressions

Similar expressions

Least common denominator (x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)

The solution

Least common denominator (x(x-1)^2)^(1/3)((x-1)^2/3+x(-2+2x)/3)/(x*(x-1)^2)