algebra problem2?

Question

simplify:

2-a^-1-6a^-2
_____________
2-7a^-1-15a^-2

Answer 1

(2 - 1/a - 6/a² ) / (2 - 7/a - 15/a²)
(2a² - a - 6) / (2a² - 7a - 15)
(2a + 3)(a - 2) / (2a + 3) (a - 5)
(a - 2) / (a - 5)

Answer 2

1. 2-a^-1-6a^-2
1-a^-6a^-2
-1-a^-6a^

= -1-7a^

2. 2-7a^-1-15a^-2
1-7a^-15a^-2
-1-7a^-15a^

= -1-21a^


i think these are right
i havent done this in a while