algebra1 help multiple choice!?

Question

how do i simplify this rational expression.

(4x^2-6x-18).................(x^2+1)
----------------- *(multiply) ------------
(x+1) .............................(x^2-6x+9)


A 2(2x+3)(x^2+1)
--------------------
(x+1)(x-3)

B 2(2x+3)(x^2+1)
--------------------
(x+1)(x+3)

C 2(2x-3)(x^2+1)
--------------------
(x+1)(x-3)

D 2(2x-3)(x^2-1)
--------------------
(x+1)(x-3)

E -2x

F x-1

Answer 1

(4x^2 - 6x - 18)(x^2 + 1) / (x+1)(x^2 - 6x + 9) =
2(2x + 3)(x - 3)(x^2 + 1) / (x+1)(x-3)(x-3) =
only common factor top and bottom is (x-3)
2(2x + 3)(x^2 + 1) / (x+1)(x-3)

C