Mister Exam

Factor polynomial y^3-1/8

An expression to simplify:

The solution

You have entered [src]
 3   1
y  - -
     8
$$y^{3} - \frac{1}{8}$$
y^3 - 1/8
Factorization [src]
          /            ___\ /            ___\
          |    1   I*\/ 3 | |    1   I*\/ 3 |
(x - 1/2)*|x + - + -------|*|x + - - -------|
          \    4      4   / \    4      4   /
$$\left(x - \frac{1}{2}\right) \left(x + \left(\frac{1}{4} + \frac{\sqrt{3} i}{4}\right)\right) \left(x + \left(\frac{1}{4} - \frac{\sqrt{3} i}{4}\right)\right)$$
((x - 1/2)*(x + 1/4 + i*sqrt(3)/4))*(x + 1/4 - i*sqrt(3)/4)
Rational denominator [src]
        3
-1 + 8*y 
---------
    8    
$$\frac{8 y^{3} - 1}{8}$$
(-1 + 8*y^3)/8
Combining rational expressions [src]
        3
-1 + 8*y 
---------
    8    
$$\frac{8 y^{3} - 1}{8}$$
(-1 + 8*y^3)/8
Numerical answer [src]
-0.125 + y^3
-0.125 + y^3
Combinatorics [src]
           /             2\
(-1 + 2*y)*\1 + 2*y + 4*y /
---------------------------
             8             
$$\frac{\left(2 y - 1\right) \left(4 y^{2} + 2 y + 1\right)}{8}$$
(-1 + 2*y)*(1 + 2*y + 4*y^2)/8