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Factor polynomial:
x-x^3+5*x^2/2
x-x^3/3+x^5/5+3*x^4/4
x-x^3/3+x^4/4
x-x^3+3*x^2
Least common denominator:
((y^2-49)/(y^2-14*y+49))^4/((y+7)/(y-7))^4
x*((x-1)^2/x^2)*(2/x-2*(x-1)/x^2)/(x-1)
(x-sqrt(6)+8)/(4-sqrt(x))*(2+sqrt(x))*(4/(16+x^2)+x*(4+x)^2/(256-x^4))
(x-sin(2*x)/2)/2-2*cos(x)+x
Factor squared:
-y^2+y-7
-y^2+y+9
-y^2-y-8
-y^2+y-5
How do you in partial fractions?:
(x^4-x^2)/(x-1)
x^2+1/(x^2)
(m-(14*m-49)/m)/(7/m-1)
e^x/(e^x+2)
Identical expressions
x-x^ three / three +x^ four / four
x minus x cubed divide by 3 plus x to the power of 4 divide by 4
x minus x to the power of three divide by three plus x to the power of four divide by four
x-x3/3+x4/4
x-x³/3+x⁴/4
x-x to the power of 3/3+x to the power of 4/4
x-x^3 divide by 3+x^4 divide by 4
Similar expressions
x+x^3/3+x^4/4
x-x^3/3-x^4/4

Expression simplification/ Factorization polynomials/ x-x^3/3+x^4/4

Factor polynomial x-x^3/3+x^4/4

The solution

You have entered [src]

     3    4
    x    x 
x - -- + --
    3    4

$$\frac{x^{4}}{4} + \left(- \frac{x^{3}}{3} + x\right)$$

x - x^3/3 + x^4/4

General simplification [src]

     3    4
    x    x 
x - -- + --
    3    4

$$\frac{x^{4}}{4} - \frac{x^{3}}{3} + x$$

x - x^3/3 + x^4/4

Fraction decomposition [src]

x - x^3/3 + x^4/4

$$\frac{x^{4}}{4} - \frac{x^{3}}{3} + x$$

     3    4
    x    x 
x - -- + --
    3    4

Factorization [src]

  /                                                          __________________ /          ___\\ /                                                          __________________ /          ___\\ /                                          __________________\
  |                                                         / 1394       _____  |  1   I*\/ 3 || |                                                         / 1394       _____  |  1   I*\/ 3 || |                                         / 1394       _____ |
  |                                                      3 /  ---- + 2*\/ 665  *|- - - -------|| |                                                      3 /  ---- + 2*\/ 665  *|- - + -------|| |                                      3 /  ---- + 2*\/ 665  |
  |      4                       16                      \/    27               \  2      2   /| |      4                       16                      \/    27               \  2      2   /| |      4               16              \/    27              |
x*|x + - - + ----------------------------------------- + --------------------------------------|*|x + - - + ----------------------------------------- + --------------------------------------|*|x + - - + ------------------------- + ----------------------|
  |      9      /          ___\     __________________                     3                   | |      9      /          ___\     __________________                     3                   | |      9          __________________             3           |
  |             |  1   I*\/ 3 |    / 1394       _____                                          | |             |  1   I*\/ 3 |    / 1394       _____                                          | |                / 1394       _____                          |
  |          27*|- - - -------|*3 /  ---- + 2*\/ 665                                           | |          27*|- - + -------|*3 /  ---- + 2*\/ 665                                           | |          27*3 /  ---- + 2*\/ 665                           |
  \             \  2      2   / \/    27                                                       / \             \  2      2   / \/    27                                                       / \             \/    27                                       /

$$x \left(x + \left(- \frac{4}{9} + \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{2 \sqrt{665} + \frac{1394}{27}}}{3} + \frac{16}{27 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{2 \sqrt{665} + \frac{1394}{27}}}\right)\right) \left(x + \left(- \frac{4}{9} + \frac{16}{27 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{2 \sqrt{665} + \frac{1394}{27}}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{2 \sqrt{665} + \frac{1394}{27}}}{3}\right)\right) \left(x + \left(- \frac{4}{9} + \frac{16}{27 \sqrt[3]{2 \sqrt{665} + \frac{1394}{27}}} + \frac{\sqrt[3]{2 \sqrt{665} + \frac{1394}{27}}}{3}\right)\right)$$

((x*(x - 4/9 + 16/(27*(-1/2 - i*sqrt(3)/2)*(1394/27 + 2*sqrt(665))^(1/3)) + (1394/27 + 2*sqrt(665))^(1/3)*(-1/2 - i*sqrt(3)/2)/3))*(x - 4/9 + 16/(27*(-1/2 + i*sqrt(3)/2)*(1394/27 + 2*sqrt(665))^(1/3)) + (1394/27 + 2*sqrt(665))^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x - 4/9 + 16/(27*(1394/27 + 2*sqrt(665))^(1/3)) + (1394/27 + 2*sqrt(665))^(1/3)/3)

Common denominator [src]

     3    4
    x    x 
x - -- + --
    3    4

$$\frac{x^{4}}{4} - \frac{x^{3}}{3} + x$$

x - x^3/3 + x^4/4

Combinatorics [src]

  /        2      3\
x*\12 - 4*x  + 3*x /
--------------------
         12

$$\frac{x \left(3 x^{3} - 4 x^{2} + 12\right)}{12}$$

x*(12 - 4*x^2 + 3*x^3)/12

Assemble expression [src]

     3    4
    x    x 
x - -- + --
    3    4

$$\frac{x^{4}}{4} - \frac{x^{3}}{3} + x$$

x - x^3/3 + x^4/4

Combining rational expressions [src]

  /        2      3\
x*\12 - 4*x  + 3*x /
--------------------
         12

$$\frac{x \left(3 x^{3} - 4 x^{2} + 12\right)}{12}$$

x*(12 - 4*x^2 + 3*x^3)/12

Rational denominator [src]

     3      4       
- 4*x  + 3*x  + 12*x
--------------------
         12

$$\frac{3 x^{4} - 4 x^{3} + 12 x}{12}$$

(-4*x^3 + 3*x^4 + 12*x)/12

Numerical answer [src]

x + 0.25*x^4 - 0.333333333333333*x^3

x + 0.25*x^4 - 0.333333333333333*x^3

Powers [src]

     3    4
    x    x 
x - -- + --
    3    4

$$\frac{x^{4}}{4} - \frac{x^{3}}{3} + x$$

x - x^3/3 + x^4/4

Trigonometric part [src]

     3    4
    x    x 
x - -- + --
    3    4

$$\frac{x^{4}}{4} - \frac{x^{3}}{3} + x$$

x - x^3/3 + x^4/4

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Identical expressions

Similar expressions

Factor polynomial x-x^3/3+x^4/4

The solution