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Factor polynomial:
x^2-3*x+2
x^6-y^6
x^3-x^2-x-2
x^3+x-2
Least common denominator:
x^2*log(x)/2-x^2/4
atan(tan(f)*sqrt(a^2-1)/a)/sqrt(a^2-1)
(a/5+a/2)*a^2/6
((3*c+1)/(c-1)+c)/(c+1)
Factor squared:
-y^4-y^2+4
-y^4+y^2-4
x^2+3*y*x+2*y^2
y^4-y^2-2
How do you in partial fractions?:
((3*c+1)/(c-1)+c)/(c+1)
(5/s)*(2/((1/5)*s+1))*(1/(s+1))
z/(z+9)^2-z/(z^2-81)
((z^2-z)/(z^2-9))^-1/(z^2-3*z)/(z-1)
Identical expressions
x^ six + two *x^ three + three
x to the power of 6 plus 2 multiply by x cubed plus 3
x to the power of six plus two multiply by x to the power of three plus three
x6+2*x3+3
x⁶+2*x³+3
x to the power of 6+2*x to the power of 3+3
x^6+2x^3+3
x6+2x3+3
Similar expressions
x^6-2*x^3+3
x^6+2*x^3-3

Expression simplification/ Factorization polynomials/ x^6+2*x^3+3

Factor polynomial x^6+2*x^3+3

The solution

You have entered [src]

 6      3    
x  + 2*x  + 3

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

x^6 + 2*x^3 + 3

General simplification [src]

     6      3
3 + x  + 2*x

$$x^{6} + 2 x^{3} + 3$$

3 + x^6 + 2*x^3

Factorization [src]

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|      6 ___    |  atan\\/ 2 /   pi|     6 ___    |  atan\\/ 2 /   pi|| |      6 ___    |  atan\\/ 2 /   pi|     6 ___    |  atan\\/ 2 /   pi|| |              \       3        3 /            \       3        3 /              \       3        3 /             \       3        3 /| |              \       3        3 /            \       3        3 /              \       3        3 /             \       3        3 /| |             \       3        3 /           \       3        3 /             \       3        3 /              \       3        3 /| |             \       3        3 /           \       3        3 /              \       3        3 /             \       3        3 /|
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\               \       3        3 /              \       3        3 // \               \       3        3 /              \       3        3 // \                   2                               2                                2                                2               / \                   2                               2                                2                                2               / \                  2                              2                               2                                 2               / \                  2                              2                                2                                2               /

$$\left(x + \left(- \sqrt[6]{3} \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)} - \sqrt[6]{3} i \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}\right)\right) \left(x + \left(- \sqrt[6]{3} \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)} + \sqrt[6]{3} i \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}\right)\right) \left(x + \left(- \frac{3^{\frac{2}{3}} \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} + \frac{\sqrt[6]{3} \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} - \frac{3^{\frac{2}{3}} i \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} - \frac{\sqrt[6]{3} i \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2}\right)\right) \left(x + \left(- \frac{3^{\frac{2}{3}} \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} + \frac{\sqrt[6]{3} \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} + \frac{\sqrt[6]{3} i \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} + \frac{3^{\frac{2}{3}} i \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2}\right)\right) \left(x + \left(\frac{\sqrt[6]{3} \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} + \frac{3^{\frac{2}{3}} \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} - \frac{3^{\frac{2}{3}} i \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} + \frac{\sqrt[6]{3} i \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2}\right)\right) \left(x + \left(\frac{\sqrt[6]{3} \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} + \frac{3^{\frac{2}{3}} \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} - \frac{\sqrt[6]{3} i \sin{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2} + \frac{3^{\frac{2}{3}} i \cos{\left(- \frac{\operatorname{atan}{\left(\sqrt{2} \right)}}{3} + \frac{\pi}{3} \right)}}{2}\right)\right)$$

(((((x - 3^(1/6)*cos(-atan(sqrt(2))/3 + pi/3) + i*3^(1/6)*sin(-atan(sqrt(2))/3 + pi/3))*(x - 3^(1/6)*cos(-atan(sqrt(2))/3 + pi/3) - i*3^(1/6)*sin(-atan(sqrt(2))/3 + pi/3)))*(x - 3^(2/3)*sin(-atan(sqrt(2))/3 + pi/3)/2 + 3^(1/6)*cos(-atan(sqrt(2))/3 + pi/3)/2 - i*3^(1/6)*sin(-atan(sqrt(2))/3 + pi/3)/2 - i*3^(2/3)*cos(-atan(sqrt(2))/3 + pi/3)/2))*(x - 3^(2/3)*sin(-atan(sqrt(2))/3 + pi/3)/2 + 3^(1/6)*cos(-atan(sqrt(2))/3 + pi/3)/2 + i*3^(1/6)*sin(-atan(sqrt(2))/3 + pi/3)/2 + i*3^(2/3)*cos(-atan(sqrt(2))/3 + pi/3)/2))*(x + 3^(1/6)*cos(-atan(sqrt(2))/3 + pi/3)/2 + 3^(2/3)*sin(-atan(sqrt(2))/3 + pi/3)/2 - i*3^(2/3)*cos(-atan(sqrt(2))/3 + pi/3)/2 + i*3^(1/6)*sin(-atan(sqrt(2))/3 + pi/3)/2))*(x + 3^(1/6)*cos(-atan(sqrt(2))/3 + pi/3)/2 + 3^(2/3)*sin(-atan(sqrt(2))/3 + pi/3)/2 - i*3^(1/6)*sin(-atan(sqrt(2))/3 + pi/3)/2 + i*3^(2/3)*cos(-atan(sqrt(2))/3 + pi/3)/2)

Assemble expression [src]

     6      3
3 + x  + 2*x

$$x^{6} + 2 x^{3} + 3$$

3 + x^6 + 2*x^3

Rational denominator [src]

     6      3
3 + x  + 2*x

$$x^{6} + 2 x^{3} + 3$$

3 + x^6 + 2*x^3

Combinatorics [src]

     6      3
3 + x  + 2*x

$$x^{6} + 2 x^{3} + 3$$

3 + x^6 + 2*x^3

Common denominator [src]

     6      3
3 + x  + 2*x

$$x^{6} + 2 x^{3} + 3$$

3 + x^6 + 2*x^3

Combining rational expressions [src]

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

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

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

Powers [src]

     6      3
3 + x  + 2*x

$$x^{6} + 2 x^{3} + 3$$

3 + x^6 + 2*x^3

Numerical answer [src]

3.0 + x^6 + 2.0*x^3

3.0 + x^6 + 2.0*x^3

Trigonometric part [src]

     6      3
3 + x  + 2*x

$$x^{6} + 2 x^{3} + 3$$

3 + x^6 + 2*x^3

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How to use it?

Identical expressions

Similar expressions

Factor polynomial x^6+2*x^3+3

The solution