Polynomials

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

What is the LCM of x³ + 8, x² + 5x + 6 and x³ + 4x² + 4x?

x (x + 2)² (x + 3) (x² - 2x + 4)
x (x - 2)² (x - 3) (x² + 2x + 4)
(x + 2)² (x + 3) (x² - 2x + 4)
(x - 2)² (x - 3) (x² - 2x + 4)

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

If u² + (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

If a + b = 5 and ab = 6, then what is the value of a³+ b³?

35
40
90
125