Question

perform the indicated operation:(a+3)^2/a-3 / 5/(a^2-9)

Answer 1

Does "a" have a value, or do we just leave it as "a"? If that's the case, then we would have:

((a+3)^2)/a - (3/5)/(a^2-9)

Let's just look at the first half on the left:
((a+3)^2)/a
(a^2+6a+9)/a
a+6+(9/a)

Now let's look at the right half:
(3/5)/(a^2-9)
3/(5(a^2-9))
3/(5a^2-45)
I wouldn't simplify this any further, although I doubt there is any efficient way of doing so anyway.

Now we can put the two parts together:

(a+6+(9/a)) - (3/(5a^2-45))
In the end it still looks pretty crappy, but I guess that's the best I can do ^^" Hope that helps!