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Factor polynomial:
x^3+y^3+z^3
x^3-8*x^2-23*x+210
x^3-6*x*y+y^3
-x^3+6*x-4*x-8
Least common denominator:
tan((x-pi)/4)-tan((x+pi)/4)
(n*n-2*n)/(n+1)-(n*n-1)/(n+2)
n+6/(4*n+8)-n+2/(4*n-8)+5/(n^2-4)
n+3/(2*n+2)-n+1/(2*n-2)+3/(n^2-1)
Factor squared:
x^2+9*x-6
x^2+5*x+7
-x^2+4*x*y-y^2
-x^2-5*x+14
How do you in partial fractions?:
x^2-9/(x+3)^2
(x^3+2)/(x^3-4x)
(C^2-5c)/(c^2-25)
(9*a^2-16)*(1*(3*a-4)-1/(3*a+4))
Identical expressions
x^ three - six *x*y+y^ three
x cubed minus 6 multiply by x multiply by y plus y cubed
x to the power of three minus six multiply by x multiply by y plus y to the power of three
x3-6*x*y+y3
x³-6*x*y+y³
x to the power of 3-6*x*y+y to the power of 3
x^3-6xy+y^3
x3-6xy+y3
Similar expressions
x^3-6*x*y-y^3
x^3+6*x*y+y^3

Expression simplification/ Factorization polynomials/ x^3-6*x*y+y^3

Factor polynomial x^3-6xy+y^3

The solution

You have entered [src]

 3            3
x  - 6*x*y + y

$$y^{3} + \left(x^{3} - 6 x y\right)$$

x^3 - 6*x*y + y^3

General simplification [src]

 3    3        
x  + y  - 6*x*y

$$x^{3} - 6 x y + y^{3}$$

x^3 + y^3 - 6*x*y

Factorization [src]

/      /                                                 __________________                \\ /      /                                                 __________________                \\ /      /                                 __________________\\
|      |                                                /             ____  /          ___\|| |      |                                                /             ____  /          ___\|| |      |                                /             ____ ||
|      |                                               /  27   27*I*\/ 31   |  1   I*\/ 3 ||| |      |                                               /  27   27*I*\/ 31   |  1   I*\/ 3 ||| |      |                               /  27   27*I*\/ 31  ||
|      |                                            3 /   -- + ----------- *|- - - -------||| |      |                                            3 /   -- + ----------- *|- - + -------||| |      |                            3 /   -- + ----------- ||
|      |                     6                      \/    2         2       \  2      2   /|| |      |                     6                      \/    2         2       \  2      2   /|| |      |             6              \/    2         2      ||
|x - y*|- --------------------------------------- - ---------------------------------------||*|x - y*|- --------------------------------------- - ---------------------------------------||*|x - y*|- ----------------------- - -----------------------||
|      |                       __________________                      3                   || |      |                       __________________                      3                   || |      |       __________________              3           ||
|      |  /          ___\     /             ____                                           || |      |  /          ___\     /             ____                                           || |      |      /             ____                           ||
|      |  |  1   I*\/ 3 |    /  27   27*I*\/ 31                                            || |      |  |  1   I*\/ 3 |    /  27   27*I*\/ 31                                            || |      |     /  27   27*I*\/ 31                            ||
|      |  |- - - -------|*3 /   -- + -----------                                           || |      |  |- - + -------|*3 /   -- + -----------                                           || |      |  3 /   -- + -----------                           ||
\      \  \  2      2   / \/    2         2                                                // \      \  \  2      2   / \/    2         2                                                // \      \  \/    2         2                                //

$$\left(x - y \left(- \frac{6}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27}{2} + \frac{27 \sqrt{31} i}{2}}} - \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27}{2} + \frac{27 \sqrt{31} i}{2}}}{3}\right)\right) \left(x - y \left(- \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27}{2} + \frac{27 \sqrt{31} i}{2}}}{3} - \frac{6}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27}{2} + \frac{27 \sqrt{31} i}{2}}}\right)\right) \left(x - y \left(- \frac{\sqrt[3]{\frac{27}{2} + \frac{27 \sqrt{31} i}{2}}}{3} - \frac{6}{\sqrt[3]{\frac{27}{2} + \frac{27 \sqrt{31} i}{2}}}\right)\right)$$

((x - y*(-6/((-1/2 - i*sqrt(3)/2)*(27/2 + 27*i*sqrt(31)/2)^(1/3)) - (27/2 + 27*i*sqrt(31)/2)^(1/3)*(-1/2 - i*sqrt(3)/2)/3))*(x - y*(-6/((-1/2 + i*sqrt(3)/2)*(27/2 + 27*i*sqrt(31)/2)^(1/3)) - (27/2 + 27*i*sqrt(31)/2)^(1/3)*(-1/2 + i*sqrt(3)/2)/3)))*(x - y*(-6/(27/2 + 27*i*sqrt(31)/2)^(1/3) - (27/2 + 27*i*sqrt(31)/2)^(1/3)/3))

Numerical answer [src]

x^3 + y^3 - 6.0*x*y

x^3 + y^3 - 6.0*x*y

Common denominator [src]

 3    3        
x  + y  - 6*x*y

$$x^{3} - 6 x y + y^{3}$$

x^3 + y^3 - 6*x*y

Combining rational expressions [src]

 3     / 2      \
y  + x*\x  - 6*y/

$$x \left(x^{2} - 6 y\right) + y^{3}$$

y^3 + x*(x^2 - 6*y)

Trigonometric part [src]

 3    3        
x  + y  - 6*x*y

$$x^{3} - 6 x y + y^{3}$$

x^3 + y^3 - 6*x*y

Combinatorics [src]

 3    3        
x  + y  - 6*x*y

$$x^{3} - 6 x y + y^{3}$$

x^3 + y^3 - 6*x*y

Assemble expression [src]

 3    3        
x  + y  - 6*x*y

$$x^{3} - 6 x y + y^{3}$$

x^3 + y^3 - 6*x*y

Rational denominator [src]

 3    3        
x  + y  - 6*x*y

$$x^{3} - 6 x y + y^{3}$$

x^3 + y^3 - 6*x*y

Powers [src]

 3    3        
x  + y  - 6*x*y

$$x^{3} - 6 x y + y^{3}$$

x^3 + y^3 - 6*x*y

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How to use it?

Identical expressions

Similar expressions

Factor polynomial x^3-6*x*y+y^3

The solution

Factor polynomial x^3-6xy+y^3