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Factor polynomial:
y^2+8*y+16
y^2+4*y-60
y^2-4*y-42
y^2+4*y^2
Least common denominator:
(x+3/(6*x-30))*(450/(x^2+3*x))
((x^3+6*x^2+11*x+6)/(-6))+((-x^3-9*x^2-26*x-24)/6)
x^2*y+16/(y-1)*(x-4)-16*y+x^2/x*y-x-4*y+4
(x2-x1)*x1-(c/a-x1*(x1+x2)/2)
Factor squared:
-y^2-y*q-4*q^2
y^2+y*q+4*q^2
-y^2+y*x+2*x^2
y^2-y*t-6*t^2
How do you in partial fractions?:
x^2-9/(x+3)^2
(4x-1)/(x^2-4x+8)
1/(x^4+x^2)
((x*x)*x-15*x)*(-2*x/((x*x)*x-15*x)+(5-x*x)*(15-x^2-2*x^2)/((x*x)*x-15*x)^2)/(4*(5-x*x))
Identical expressions
x^ eight +x^ six - four *x^ four +x^ two + one
x to the power of 8 plus x to the power of 6 minus 4 multiply by x to the power of 4 plus x squared plus 1
x to the power of eight plus x to the power of six minus four multiply by x to the power of four plus x to the power of two plus one
x8+x6-4*x4+x2+1
x⁸+x⁶-4*x⁴+x²+1
x to the power of 8+x to the power of 6-4*x to the power of 4+x to the power of 2+1
x^8+x^6-4x^4+x^2+1
x8+x6-4x4+x2+1
Similar expressions
x^8+x^6-4*x^4+x^2-1
x^8-x^6-4*x^4+x^2+1
x^8+x^6+4*x^4+x^2+1
x^8+x^6-4*x^4-x^2+1

Expression simplification/ Factorization polynomials/ x^8+x^6-4*x^4+x^2+1

Factor polynomial x^8+x^6-4*x^4+x^2+1

The solution

You have entered [src]

 8    6      4    2    
x  + x  - 4*x  + x  + 1

$$\left(x^{2} + \left(- 4 x^{4} + \left(x^{8} + x^{6}\right)\right)\right) + 1$$

x^8 + x^6 - 4*x^4 + x^2 + 1

Factorization [src]

                /         _____________\ /         _____________\ /         _____________\ /         _____________\
                |        /         ___ | |        /         ___ | |        /         ___ | |        /         ___ |
                |       /    3   \/ 5  | |       /    3   \/ 5  | |       /    3   \/ 5  | |       /    3   \/ 5  |
(x + 1)*(x - 1)*|x +   /   - - - ----- |*|x -   /   - - - ----- |*|x +   /   - - + ----- |*|x -   /   - - + ----- |
                \    \/      2     2   / \    \/      2     2   / \    \/      2     2   / \    \/      2     2   /

$$\left(x - 1\right) \left(x + 1\right) \left(x + \sqrt{- \frac{3}{2} - \frac{\sqrt{5}}{2}}\right) \left(x - \sqrt{- \frac{3}{2} - \frac{\sqrt{5}}{2}}\right) \left(x + \sqrt{- \frac{3}{2} + \frac{\sqrt{5}}{2}}\right) \left(x - \sqrt{- \frac{3}{2} + \frac{\sqrt{5}}{2}}\right)$$

(((((x + 1)*(x - 1))*(x + sqrt(-3/2 - sqrt(5)/2)))*(x - sqrt(-3/2 - sqrt(5)/2)))*(x + sqrt(-3/2 + sqrt(5)/2)))*(x - sqrt(-3/2 + sqrt(5)/2))

General simplification [src]

     2    6    8      4
1 + x  + x  + x  - 4*x

$$x^{8} + x^{6} - 4 x^{4} + x^{2} + 1$$

1 + x^2 + x^6 + x^8 - 4*x^4

Rational denominator [src]

     2    6    8      4
1 + x  + x  + x  - 4*x

$$x^{8} + x^{6} - 4 x^{4} + x^{2} + 1$$

1 + x^2 + x^6 + x^8 - 4*x^4

Combinatorics [src]

       2         2 /     4      2\
(1 + x) *(-1 + x) *\1 + x  + 3*x /

$$\left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{4} + 3 x^{2} + 1\right)$$

(1 + x)^2*(-1 + x)^2*(1 + x^4 + 3*x^2)

Assemble expression [src]

     2    6    8      4
1 + x  + x  + x  - 4*x

$$x^{8} + x^{6} - 4 x^{4} + x^{2} + 1$$

1 + x^2 + x^6 + x^8 - 4*x^4

Numerical answer [src]

1.0 + x^2 + x^6 + x^8 - 4.0*x^4

1.0 + x^2 + x^6 + x^8 - 4.0*x^4

Common denominator [src]

     2    6    8      4
1 + x  + x  + x  - 4*x

$$x^{8} + x^{6} - 4 x^{4} + x^{2} + 1$$

1 + x^2 + x^6 + x^8 - 4*x^4

Combining rational expressions [src]

     2 /     2 /      2 /     2\\\
1 + x *\1 + x *\-4 + x *\1 + x ///

$$x^{2} \left(x^{2} \left(x^{2} \left(x^{2} + 1\right) - 4\right) + 1\right) + 1$$

1 + x^2*(1 + x^2*(-4 + x^2*(1 + x^2)))

Powers [src]

     2    6    8      4
1 + x  + x  + x  - 4*x

$$x^{8} + x^{6} - 4 x^{4} + x^{2} + 1$$

1 + x^2 + x^6 + x^8 - 4*x^4

Trigonometric part [src]

     2    6    8      4
1 + x  + x  + x  - 4*x

$$x^{8} + x^{6} - 4 x^{4} + x^{2} + 1$$

1 + x^2 + x^6 + x^8 - 4*x^4

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Identical expressions

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Factor polynomial x^8+x^6-4*x^4+x^2+1

The solution