Thread: rearranging fractions

Hi,

Im doing a Maths course and I am finding the basics very difficult. the last time I did Maths was at O Level over 20 years ago and my poor ancient mind seems to have forgotten most of it. Anyway at the moment I am more interested in the how things happen then actual answers and I was hoping someone could explain the following

Why and how does p+q/pq become 1/q+1/p

How is it possible to simplify (x-√3)(x+√3) to x² - 3

Thanks

It's important to know some important algebraic rules.
Your first question for example:

Second question, use the fact that