Question

Divide and simplify (x^2-4x-5)/(x^2-9) divided by (x^2-x-2)/(x^2-4x+3)

Answer 1

Invert divisor and multiply
(x^2-4x-5)(x^2-4x+3)/(x^2-x-2)(x^2-9)
Factor
(x+1)(x-5)(x-1)(x-3)/(x+1)(x-2)(x+3)(x-3)
Cancel to get
(x-5)(x-1)/(x-2)(x+3)