3 quite good problems (mostly algebra)
I hope you feel for some algebra!:D
Problem 1 (I have "solved" this one, "solution" below)
Spoiler! - UPDATED
This is how I think
First we put as a fraction
Then we multiply with to get a common denominator.
Ok, now we are close to a more simpler way to put this problem. (Put everything in the same fraction.
is zero. we are left with
A second opinion on this problem and it's "solution" is always welcome.
Alright, problem 2. Now we got to have a clear mind and a sharp eye to solve this one...
First we work some on the first fraction, to make it more easy to work with. (I'll go more into detail later)