please help. I am not sure if this is correct. I need to simplify this to the lowest terms

Question

a^2 - 4b ^2
_____ ______
a+2b a+2b

my answer is:

a^2-4b^2
_________
a+2b

is this really to the lowest term?? for some reason I think I am doing this wrong. Thank you!

Answer 1

you are correct, as far as you have gone. However, since

a^2 - 4b^2 = (a-2b)(a+2b), you wind up with just

a-2b

Answer 2

12a^3b/-6ab^5