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Factor polynomial:
x1*x2+x1^2*x3^2+x2*x3
2*c^4-4*c^3+2*c
x^8-1
a^8-b^8
Least common denominator:
exp(x)/(2*(e^x+1))-exp(x)/(2*(e^x-1))
(a*sqrt(a)+b*sqrt(b))/(sqrt(a)+sqrt(b))/(a-b)+(2*sqrt(b))/(sqrt(a)+sqrt(b))
(x^3+12*x)*(x/(2*(x^3+12*x))+(-12-3*x^2)*(x^2+4)/(4*(x^3+12*x)^2))/(x^2+4)
(sin(4*x)/((2+2*x)*8)+sin(2*x)/2+x/2)/2
Factor squared:
-y^2+4*y-3
x^2+9*x-5
y^4-y^2-8
-y^4+y^2-7
How do you in partial fractions?:
((p+3)/(p^2-2p))*((4p-8)/(p+3))
-1/(3*x^3)
(3a^2-12)/(9a^3-72)
z/(z+4)^2-z/z^2-16
Identical expressions
two *c^ four - four *c^ three + two *c
2 multiply by c to the power of 4 minus 4 multiply by c cubed plus 2 multiply by c
two multiply by c to the power of four minus four multiply by c to the power of three plus two multiply by c
2*c4-4*c3+2*c
2*c⁴-4*c³+2*c
2*c to the power of 4-4*c to the power of 3+2*c
2c^4-4c^3+2c
2c4-4c3+2c
Similar expressions
2*c^4-4*c^3-2*c
2*c^4+4*c^3+2*c

Expression simplification/ Factorization polynomials/ 2*c^4-4*c^3+2*c

Factor polynomial 2c^4-4c^3+2*c

The solution

You have entered [src]

   4      3      
2*c  - 4*c  + 2*c

$$2 c + \left(2 c^{4} - 4 c^{3}\right)$$

2*c^4 - 4*c^3 + 2*c

Factorization [src]

          /            ___\ /            ___\
          |      1   \/ 5 | |      1   \/ 5 |
c*(c - 1)*|c + - - + -----|*|c + - - - -----|
          \      2     2  / \      2     2  /

$$c \left(c - 1\right) \left(c + \left(- \frac{1}{2} + \frac{\sqrt{5}}{2}\right)\right) \left(c + \left(- \frac{\sqrt{5}}{2} - \frac{1}{2}\right)\right)$$

((c*(c - 1))*(c - 1/2 + sqrt(5)/2))*(c - 1/2 - sqrt(5)/2)

General simplification [src]

    /     3      2\
2*c*\1 + c  - 2*c /

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

2*c*(1 + c^3 - 2*c^2)

Rational denominator [src]

     3            4
- 4*c  + 2*c + 2*c

$$2 c^{4} - 4 c^{3} + 2 c$$

-4*c^3 + 2*c + 2*c^4

Combining rational expressions [src]

    /     2         \
2*c*\1 + c *(-2 + c)/

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

2*c*(1 + c^2*(-2 + c))

Combinatorics [src]

             /      2    \
2*c*(-1 + c)*\-1 + c  - c/

$$2 c \left(c - 1\right) \left(c^{2} - c - 1\right)$$

2*c*(-1 + c)*(-1 + c^2 - c)

Assemble expression [src]

     3            4
- 4*c  + 2*c + 2*c

$$2 c^{4} - 4 c^{3} + 2 c$$

-4*c^3 + 2*c + 2*c^4

Powers [src]

     3            4
- 4*c  + 2*c + 2*c

$$2 c^{4} - 4 c^{3} + 2 c$$

-4*c^3 + 2*c + 2*c^4

Numerical answer [src]

2.0*c + 2.0*c^4 - 4.0*c^3

2.0*c + 2.0*c^4 - 4.0*c^3

Common denominator [src]

     3            4
- 4*c  + 2*c + 2*c

$$2 c^{4} - 4 c^{3} + 2 c$$

-4*c^3 + 2*c + 2*c^4

Trigonometric part [src]

     3            4
- 4*c  + 2*c + 2*c

$$2 c^{4} - 4 c^{3} + 2 c$$

-4*c^3 + 2*c + 2*c^4

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Identical expressions

Similar expressions

Factor polynomial 2*c^4-4*c^3+2*c

The solution

Factor polynomial 2c^4-4c^3+2*c