Mister Exam

Factor polynomial -y^8+y^5

An expression to simplify:

The solution

You have entered [src]
   8    5
- y  + y 
$$- y^{8} + y^{5}$$
-y^8 + y^5
Factorization [src]
          /            ___\ /            ___\
          |    1   I*\/ 3 | |    1   I*\/ 3 |
x*(x - 1)*|x + - + -------|*|x + - - -------|
          \    2      2   / \    2      2   /
$$x \left(x - 1\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$
((x*(x - 1))*(x + 1/2 + i*sqrt(3)/2))*(x + 1/2 - i*sqrt(3)/2)
Numerical answer [src]
y^5 - y^8
y^5 - y^8
Combining rational expressions [src]
 5 /     3\
y *\1 - y /
$$y^{5} \left(1 - y^{3}\right)$$
y^5*(1 - y^3)
Combinatorics [src]
  5          /         2\
-y *(-1 + y)*\1 + y + y /
$$- y^{5} \left(y - 1\right) \left(y^{2} + y + 1\right)$$
-y^5*(-1 + y)*(1 + y + y^2)