Divide. (X^2+6x+9/x-1)/(x^2-9/x^2-2x+1)

Question

A. (X+3)(x-1)/(x-3)
B. (X-3)(x+1)/(x+3)
C. (X+3)(x+1)/(x-3)**
D. (X-3)(x-1)/(x+3)

Divide. (X^2-4/x-8)/x-2
A.(x-2)(x+2)/x-8
B. X-8/x+2**
C. X-2/x-8
D. x+2/x-8

Answer 1

#1 factored, you have

(x+3)(x+3)/(x-1) * (x-1)(x-1)/(x-3)(x+3)

The (x-1)(x+3) cancels, leaving

(x+3)(x-1)/(x-3)

so, A

#2 The (x-2) cancels, leaving D