What is the LCM of x^{3} + 8, x^{2} + 5x + 6 and x^{3} + 4x^{2} + 4x?

- x (x + 2)
^{2}(x + 3) (x^{2}- 2x + 4) - x (x - 2)
^{2}(x - 3) (x^{2}+ 2x + 4) - (x + 2)
^{2}(x + 3) (x^{2}- 2x + 4) - (x - 2)
^{2}(x - 3) (x^{2}- 2x + 4)

If u^{2} + (u − 2v − 1)^{2} = −4v(u + v), then what is the value of u + 3v?

- 1/4
- 0
- 1/2
- -1/4

If a + b = 5 and ab = 6, then what is the value of a^{3}+ b^{3}?

- 35
- 40
- 90
- 125