Answer:
B. 1 / (x^2 - 4x + 3).
Step-by-step explanation:
(x + 3)/ (x^2 - 2x - 3) ÷ (x^2 + 2x - 3) / (x + 1)
= (x + 3) / (x^2 - 2x - 3) * (x + 1) / (x^2 + 2x - 3)
(x + 3) (x + 1)
= --------------- * -----------------
(x - 3)(x + 1) (x + 3)(x - 1)
The (x + 3)'s and (x + 1)'s cancel out:-
= 1 / (x - 3)(x - 1)
= 1 / (x^2 - 4x + 3)
