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)

**Answer**

x^{3} + 8 = (x + 2)(x^{2} - 2x + 4)

x^{2} + 5x + 6 = (x + 2)(x + 3)

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

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

**The correct option is A.**