#### As time decides

##### New member

- Joined
- Sep 17, 2007

- Messages
- 5

**Problem 1**is

\(\displaystyle \displaystyle{\frac {a} {\sqrt{ab} +a} + \frac {b} {\sqrt {ab} - b} - \frac {a} {a - b}}\)

I have worked some with it. One method I tried was to put everything as square roots, but I haven't made any progress.

A pal suggested that variables could neutralize each other straight away. Example: \(\displaystyle \displaystyle{\frac {a} {\sqrt{ab} +a} = \frac {1} {\sqrt{ab}}}\)

**Problem 2**is

\(\displaystyle \displaystyle {\frac{(9 \cdot 16^{n - 1} + 16^n)^2} {(4^{n - 1} + 4^{n - 2})^4}}\)

I have only worked a bit on this problem. I think some working with the denominator could help us solve it.

Now these aren't meant to have a solution, just a simpler way of form. Please help me with these two problems

P.S. Mods: I am new here, and I think this is the right section. Please don't bring forth the BanHammer. :?