Mister Exam
Factor polynomial y^3-1/8
The solution
Factorization
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/ ___\ / ___\
| 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)
Combining rational expressions
[src]
3
-1 + 8*y
---------
8
$$\frac{8 y^{3} - 1}{8}$$
(-1 + 8*y^3)/8
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