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Factor polynomial:
m^3+n^3
x^2+y^2
x^5+x+1
m^3-n^3
Least common denominator:
z/t-t/z
((z+p)/(2*(z-p)))-((z-p)/(2*(z+p)))-((p)/(z-p))
(z/b+b/z)/z^2+b^(2/7)*z^(16*b)
((z*(a+w))/2)+((w*(a-z))/2)+((a-z)*a)
Factor squared:
-y^4-y^2+2
y^4-9*y^2-5
y^4-y^2-1
y^4-9*y^2+4
How do you in partial fractions?:
(((z^2)+(6*z+4))/((z^3)+8))/(1/-1)
(((y-y)/(3*y-3))+(1/(y-1)))/(y+1)/3
(x^2-25)/(x^2+3*x-40)
(x^2-12)/(x-3)-x/(3-x)
Identical expressions
x^ three -x^ two +x+ one
x cubed minus x squared plus x plus 1
x to the power of three minus x to the power of two plus x plus one
x3-x2+x+1
x³-x²+x+1
x to the power of 3-x to the power of 2+x+1
Similar expressions
x^3-x^2-x+1
x^3-x^2+x-1
x^3+x^2+x+1

Expression simplification/ Factorization polynomials/ x^3-x^2+x+1

Factor polynomial x^3-x^2+x+1

The solution

You have entered [src]

 3    2        
x  - x  + x + 1

$$\left(x + \left(x^{3} - x^{2}\right)\right) + 1$$

x^3 - x^2 + x + 1

General simplification [src]

         3    2
1 + x + x  - x

$$x^{3} - x^{2} + x + 1$$

1 + x + x^3 - x^2

Factorization [src]

/             _______________ /          ___\                                       \ /             _______________ /          ___\                                       \                                                      
|          3 /          ____  |  1   I*\/ 3 |                                       | |          3 /          ____  |  1   I*\/ 3 |                                       | /             _______________                       \
|          \/  17 + 3*\/ 33  *|- - - -------|                                       | |          \/  17 + 3*\/ 33  *|- - + -------|                                       | |          3 /          ____                        |
|      1                      \  2      2   /                    2                  | |      1                      \  2      2   /                    2                  | |      1   \/  17 + 3*\/ 33              2          |
|x + - - + ---------------------------------- - ------------------------------------|*|x + - - + ---------------------------------- - ------------------------------------|*|x + - - + ------------------ - --------------------|
|      3                   3                         _______________ /          ___\| |      3                   3                         _______________ /          ___\| |      3           3                 _______________|
|                                                 3 /          ____  |  1   I*\/ 3 || |                                                 3 /          ____  |  1   I*\/ 3 || |                                 3 /          ____ |
|                                               3*\/  17 + 3*\/ 33  *|- - - -------|| |                                               3*\/  17 + 3*\/ 33  *|- - + -------|| \                               3*\/  17 + 3*\/ 33  /
\                                                                    \  2      2   // \                                                                    \  2      2   //

$$\left(x + \left(- \frac{1}{3} + \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{3} - \frac{2}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{17 + 3 \sqrt{33}}}\right)\right) \left(x + \left(- \frac{1}{3} - \frac{2}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{17 + 3 \sqrt{33}}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{17 + 3 \sqrt{33}}}{3}\right)\right) \left(x + \left(- \frac{1}{3} - \frac{2}{3 \sqrt[3]{17 + 3 \sqrt{33}}} + \frac{\sqrt[3]{17 + 3 \sqrt{33}}}{3}\right)\right)$$

((x - 1/3 + (17 + 3*sqrt(33))^(1/3)*(-1/2 - i*sqrt(3)/2)/3 - 2/(3*(17 + 3*sqrt(33))^(1/3)*(-1/2 - i*sqrt(3)/2)))*(x - 1/3 + (17 + 3*sqrt(33))^(1/3)*(-1/2 + i*sqrt(3)/2)/3 - 2/(3*(17 + 3*sqrt(33))^(1/3)*(-1/2 + i*sqrt(3)/2))))*(x - 1/3 + (17 + 3*sqrt(33))^(1/3)/3 - 2/(3*(17 + 3*sqrt(33))^(1/3)))

Numerical answer [src]

1.0 + x + x^3 - x^2

1.0 + x + x^3 - x^2

Powers [src]

         3    2
1 + x + x  - x

$$x^{3} - x^{2} + x + 1$$

1 + x + x^3 - x^2

Assemble expression [src]

         3    2
1 + x + x  - x

$$x^{3} - x^{2} + x + 1$$

1 + x + x^3 - x^2

Common denominator [src]

         3    2
1 + x + x  - x

$$x^{3} - x^{2} + x + 1$$

1 + x + x^3 - x^2

Combinatorics [src]

         3    2
1 + x + x  - x

$$x^{3} - x^{2} + x + 1$$

1 + x + x^3 - x^2

Trigonometric part [src]

         3    2
1 + x + x  - x

$$x^{3} - x^{2} + x + 1$$

1 + x + x^3 - x^2

Rational denominator [src]

         3    2
1 + x + x  - x

$$x^{3} - x^{2} + x + 1$$

1 + x + x^3 - x^2

Combining rational expressions [src]

1 + x*(1 + x*(-1 + x))

$$x \left(x \left(x - 1\right) + 1\right) + 1$$

1 + x*(1 + x*(-1 + x))

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How to use it?

Identical expressions

Similar expressions

Factor polynomial x^3-x^2+x+1

The solution