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Factor polynomial:
x^3-3*x^2*y-4*x*y+12*y
x^3-3*x^3-x+3
x^3-3*x+3
x^3-5*x+1
Least common denominator:
z/(x-z)+(x+z)/z
n^2/n-4-8*n-16/n-4
(m+n/m-n-m-n/m+n)/(m-n/m+n+m+n/m-n)
(m^2+3*m/m^2+3*m+2-m^2-2*m/m^2-2*m-3)/1/m^2-m-6-5/m+1
Factor squared:
q^2+q+4
t^2+5*t*x+x^2
-q^2-2*q+3
t^2+4*t*x+3*x^2
How do you in partial fractions?:
(4x-1)/(x^2-4x+8)
(x+1)/(x^3-1)
(a^4-10*a^2+169)/(a^2+6*a+13)
x^2/(x-2)^2
Derivative of:
x^3-3*x+3
Graphing y =:
x^3-3*x+3
Identical expressions
x^ three - three *x+ three
x cubed minus 3 multiply by x plus 3
x to the power of three minus three multiply by x plus three
x3-3*x+3
x³-3*x+3
x to the power of 3-3*x+3
x^3-3x+3
x3-3x+3
Similar expressions
x^3+3*x+3
x^3-3*x-3

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

Factor polynomial x^3-3*x+3

The solution

You have entered [src]

 3          
x  - 3*x + 3

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

x^3 - 3*x + 3

General simplification [src]

     3      
3 + x  - 3*x

$$x^{3} - 3 x + 3$$

3 + x^3 - 3*x

Factorization [src]

/                                                _______________                \ /                                                _______________                \ /                                _______________\
|                                               /           ___  /          ___\| |                                               /           ___  /          ___\| |                               /           ___ |
|                                              /  81   27*\/ 5   |  1   I*\/ 3 || |                                              /  81   27*\/ 5   |  1   I*\/ 3 || |                              /  81   27*\/ 5  |
|                                           3 /   -- + -------- *|- - - -------|| |                                           3 /   -- + -------- *|- - + -------|| |                           3 /   -- + -------- |
|                     3                     \/    2       2      \  2      2   /| |                     3                     \/    2       2      \  2      2   /| |             3             \/    2       2     |
|x + ------------------------------------ + ------------------------------------|*|x + ------------------------------------ + ------------------------------------|*|x + -------------------- + --------------------|
|                         _______________                    3                  | |                         _______________                    3                  | |         _______________            3          |
|    /          ___\     /           ___                                        | |    /          ___\     /           ___                                        | |        /           ___                        |
|    |  1   I*\/ 3 |    /  81   27*\/ 5                                         | |    |  1   I*\/ 3 |    /  81   27*\/ 5                                         | |       /  81   27*\/ 5                         |
|    |- - - -------|*3 /   -- + --------                                        | |    |- - + -------|*3 /   -- + --------                                        | |    3 /   -- + --------                        |
\    \  2      2   / \/    2       2                                            / \    \  2      2   / \/    2       2                                            / \    \/    2       2                            /

$$\left(x + \left(\frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27 \sqrt{5}}{2} + \frac{81}{2}}}{3} + \frac{3}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27 \sqrt{5}}{2} + \frac{81}{2}}}\right)\right) \left(x + \left(\frac{3}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27 \sqrt{5}}{2} + \frac{81}{2}}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27 \sqrt{5}}{2} + \frac{81}{2}}}{3}\right)\right) \left(x + \left(\frac{3}{\sqrt[3]{\frac{27 \sqrt{5}}{2} + \frac{81}{2}}} + \frac{\sqrt[3]{\frac{27 \sqrt{5}}{2} + \frac{81}{2}}}{3}\right)\right)$$

((x + 3/((-1/2 - i*sqrt(3)/2)*(81/2 + 27*sqrt(5)/2)^(1/3)) + (81/2 + 27*sqrt(5)/2)^(1/3)*(-1/2 - i*sqrt(3)/2)/3)*(x + 3/((-1/2 + i*sqrt(3)/2)*(81/2 + 27*sqrt(5)/2)^(1/3)) + (81/2 + 27*sqrt(5)/2)^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x + 3/(81/2 + 27*sqrt(5)/2)^(1/3) + (81/2 + 27*sqrt(5)/2)^(1/3)/3)

Common denominator [src]

     3      
3 + x  - 3*x

$$x^{3} - 3 x + 3$$

3 + x^3 - 3*x

Assemble expression [src]

     3      
3 + x  - 3*x

$$x^{3} - 3 x + 3$$

3 + x^3 - 3*x

Rational denominator [src]

     3      
3 + x  - 3*x

$$x^{3} - 3 x + 3$$

3 + x^3 - 3*x

Trigonometric part [src]

     3      
3 + x  - 3*x

$$x^{3} - 3 x + 3$$

3 + x^3 - 3*x

Numerical answer [src]

3.0 + x^3 - 3.0*x

3.0 + x^3 - 3.0*x

Powers [src]

     3      
3 + x  - 3*x

$$x^{3} - 3 x + 3$$

3 + x^3 - 3*x

Combinatorics [src]

     3      
3 + x  - 3*x

$$x^{3} - 3 x + 3$$

3 + x^3 - 3*x

Combining rational expressions [src]

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

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

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

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Identical expressions

Similar expressions

Factor polynomial x^3-3*x+3

The solution