Mister Exam

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Factor polynomial:
x^5+y^5+z^5
x+x^8/8
x-x^2
x^5-32
Least common denominator:
2/(a+2)+(a-2)/(a^2+4*a+4)/(a/(2*a-4)+(a^2+4)/(8-2*a)-2/(2*a+a^2))
(234/(((7/20)*p+1)*(p+1)*((111/10)*p+1)))*((3/10)+10/p)
(z*z-1/2*z)/(z*z-z+1)*z/(z-1/2)
(z/x-z+x+z/z)/x/x^2-z^2
Factor squared:
-y^4+y^2-4
y^4+y^2+3
x^2-x+2
x^2-x-3
How do you in partial fractions?:
(x^2-9)/(x+3)
(z-3)/(z+3)*(z+(z^2)/(3-z))
(y^2-16)/(4*y^2-y^3)
(x^2-x-12)/(x+3)
Identical expressions
x+x^ eight / eight
x plus x to the power of 8 divide by 8
x plus x to the power of eight divide by eight
x+x8/8
x+x⁸/8
x+x^8 divide by 8
Similar expressions
x-x^8/8

Expression simplification/ Factorization polynomials/ x+x^8/8

Factor polynomial x+x^8/8

The solution

You have entered [src]

$$\frac{x^{8}}{8} + x$$

x + x^8/8

Factorization [src]

  /       3/7    /pi\      3/7    /pi\\ /     3/7    2/pi\    3/7    2/pi\\ /       3/7    2/pi\    3/7    2/pi\        3/7    /pi\    /pi\\ /       3/7    /pi\    /2*pi\    3/7    /pi\    /2*pi\      3/7    /pi\    /2*pi\      3/7    /2*pi\    /pi\\ /       3/7    /pi\    /2*pi\    3/7    /pi\    /2*pi\      3/7    /2*pi\    /pi\      3/7    /pi\    /2*pi\\ /     3/7    /pi\    /3*pi\    3/7    /pi\    /3*pi\      3/7    /pi\    /3*pi\      3/7    /3*pi\    /pi\\ /       3/7    /pi\    /3*pi\    3/7    /pi\    /3*pi\      3/7    /pi\    /3*pi\      3/7    /3*pi\    /pi\\
x*|x + - 2   *cos|--| - I*2   *sin|--||*|x + 2   *cos |--| + 2   *sin |--||*|x + - 2   *sin |--| + 2   *cos |--| + 2*I*2   *cos|--|*sin|--||*|x + - 2   *cos|--|*cos|----| + 2   *sin|--|*sin|----| - I*2   *cos|--|*sin|----| - I*2   *cos|----|*sin|--||*|x + - 2   *cos|--|*cos|----| - 2   *sin|--|*sin|----| - I*2   *cos|----|*sin|--| + I*2   *cos|--|*sin|----||*|x + 2   *cos|--|*cos|----| + 2   *sin|--|*sin|----| - I*2   *cos|--|*sin|----| + I*2   *cos|----|*sin|--||*|x + - 2   *sin|--|*sin|----| + 2   *cos|--|*cos|----| + I*2   *cos|--|*sin|----| + I*2   *cos|----|*sin|--||
  \              \7 /             \7 // \             \7 /            \7 // \               \7 /            \7 /               \7 /    \7 // \              \7 /    \ 7  /           \7 /    \ 7  /             \7 /    \ 7  /             \ 7  /    \7 // \              \7 /    \ 7  /           \7 /    \ 7  /             \ 7  /    \7 /             \7 /    \ 7  // \            \7 /    \ 7  /           \7 /    \ 7  /             \7 /    \ 7  /             \ 7  /    \7 // \              \7 /    \ 7  /           \7 /    \ 7  /             \7 /    \ 7  /             \ 7  /    \7 //

$$x \left(x + \left(- 2^{\frac{3}{7}} \cos{\left(\frac{\pi}{7} \right)} - 2^{\frac{3}{7}} i \sin{\left(\frac{\pi}{7} \right)}\right)\right) \left(x + \left(2^{\frac{3}{7}} \sin^{2}{\left(\frac{\pi}{7} \right)} + 2^{\frac{3}{7}} \cos^{2}{\left(\frac{\pi}{7} \right)}\right)\right) \left(x + \left(- 2^{\frac{3}{7}} \sin^{2}{\left(\frac{\pi}{7} \right)} + 2^{\frac{3}{7}} \cos^{2}{\left(\frac{\pi}{7} \right)} + 2 \cdot 2^{\frac{3}{7}} i \sin{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{\pi}{7} \right)}\right)\right) \left(x + \left(- 2^{\frac{3}{7}} \cos{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{2 \pi}{7} \right)} + 2^{\frac{3}{7}} \sin{\left(\frac{\pi}{7} \right)} \sin{\left(\frac{2 \pi}{7} \right)} - 2^{\frac{3}{7}} i \sin{\left(\frac{2 \pi}{7} \right)} \cos{\left(\frac{\pi}{7} \right)} - 2^{\frac{3}{7}} i \sin{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{2 \pi}{7} \right)}\right)\right) \left(x + \left(- 2^{\frac{3}{7}} \cos{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{2 \pi}{7} \right)} - 2^{\frac{3}{7}} \sin{\left(\frac{\pi}{7} \right)} \sin{\left(\frac{2 \pi}{7} \right)} - 2^{\frac{3}{7}} i \sin{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{2 \pi}{7} \right)} + 2^{\frac{3}{7}} i \sin{\left(\frac{2 \pi}{7} \right)} \cos{\left(\frac{\pi}{7} \right)}\right)\right) \left(x + \left(2^{\frac{3}{7}} \cos{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{3 \pi}{7} \right)} + 2^{\frac{3}{7}} \sin{\left(\frac{\pi}{7} \right)} \sin{\left(\frac{3 \pi}{7} \right)} - 2^{\frac{3}{7}} i \sin{\left(\frac{3 \pi}{7} \right)} \cos{\left(\frac{\pi}{7} \right)} + 2^{\frac{3}{7}} i \sin{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{3 \pi}{7} \right)}\right)\right) \left(x + \left(- 2^{\frac{3}{7}} \sin{\left(\frac{\pi}{7} \right)} \sin{\left(\frac{3 \pi}{7} \right)} + 2^{\frac{3}{7}} \cos{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{3 \pi}{7} \right)} + 2^{\frac{3}{7}} i \sin{\left(\frac{\pi}{7} \right)} \cos{\left(\frac{3 \pi}{7} \right)} + 2^{\frac{3}{7}} i \sin{\left(\frac{3 \pi}{7} \right)} \cos{\left(\frac{\pi}{7} \right)}\right)\right)$$

((((((x*(x - 2^(3/7)*cos(pi/7) - i*2^(3/7)*sin(pi/7)))*(x + 2^(3/7)*cos(pi/7)^2 + 2^(3/7)*sin(pi/7)^2))*(x - 2^(3/7)*sin(pi/7)^2 + 2^(3/7)*cos(pi/7)^2 + 2*i*2^(3/7)*cos(pi/7)*sin(pi/7)))*(x - 2^(3/7)*cos(pi/7)*cos(2*pi/7) + 2^(3/7)*sin(pi/7)*sin(2*pi/7) - i*2^(3/7)*cos(pi/7)*sin(2*pi/7) - i*2^(3/7)*cos(2*pi/7)*sin(pi/7)))*(x - 2^(3/7)*cos(pi/7)*cos(2*pi/7) - 2^(3/7)*sin(pi/7)*sin(2*pi/7) - i*2^(3/7)*cos(2*pi/7)*sin(pi/7) + i*2^(3/7)*cos(pi/7)*sin(2*pi/7)))*(x + 2^(3/7)*cos(pi/7)*cos(3*pi/7) + 2^(3/7)*sin(pi/7)*sin(3*pi/7) - i*2^(3/7)*cos(pi/7)*sin(3*pi/7) + i*2^(3/7)*cos(3*pi/7)*sin(pi/7)))*(x - 2^(3/7)*sin(pi/7)*sin(3*pi/7) + 2^(3/7)*cos(pi/7)*cos(3*pi/7) + i*2^(3/7)*cos(pi/7)*sin(3*pi/7) + i*2^(3/7)*cos(3*pi/7)*sin(pi/7))

Fraction decomposition [src]

x + x^8/8

$$\frac{x^{8}}{8} + x$$

Combinatorics [src]

  /     7\
x*\8 + x /
----------
    8

$$\frac{x \left(x^{7} + 8\right)}{8}$$

x*(8 + x^7)/8

Numerical answer [src]

x + 0.125*x^8

x + 0.125*x^8

Rational denominator [src]

 8      
x  + 8*x
--------
   8

$$\frac{x^{8} + 8 x}{8}$$

(x^8 + 8*x)/8

Combining rational expressions [src]

  /     7\
x*\8 + x /
----------
    8

$$\frac{x \left(x^{7} + 8\right)}{8}$$

x*(8 + x^7)/8

Other calculators

How to use it?

Identical expressions

Similar expressions

Factor polynomial x+x^8/8

The solution