Answer:
3(x + 1)
= ------------------
(x +2)(x + 3)
Explanation:
(2x-4) (x-3)
--------------+ ------------------------
(x^2-4) (x^2+5x+6)
(2x-4) (x-3)
= -------------- ----+ ------------------------
(x + 2)(x - 2) (x + 3)(x + 2)
GCF = (x +2)(x - 2)(x + 3)
(2x - 4)(x + 3) + (x - 3)(x - 2)
= ------------------------------------------
(x +2)(x - 2)(x + 3)
2x^2 + 6x - 4x - 12 + x^2 -2x - 3x + 6
= -----------------------------------------------------------
(x +2)(x - 2)(x + 3)
3x^2 - 3x -6
= --------------------------
(x +2)(x - 2)(x + 3)
3(x^2 - x - 2)
= --------------------------
(x +2)(x - 2)(x + 3)
3(x - 2)(x + 1)
= --------------------------
(x +2)(x - 2)(x + 3)
3(x + 1)
= ------------------
(x +2)(x + 3)