Group like terms factoring problem

[kuahji]

(x-y+2\sqrt{x}-2\sqrt{y})/(\sqrt{x}-\sqrt{y})

The first thing I did was group like terms
(x+2\sqrt{x}-y-2\sqrt{y})/(\sqrt{x}-\sqrt{y})

Then from the liked terms I factored out a \sqrt{x} & -\sqrt{y}

((\sqrt{x})(\sqrt{x}+2)-(\sqrt{y})(\sqrt{y}+2))/(\sqrt{x}-\sqrt{y})

Here is where I get stuck. The next step should be, ((\sqrt{x}-\sqrt{y})(\sqrt{x}+\sqrt{y}+2)/(\sqrt{x}-\sqrt{y})

However I'm just unsure how to jump to that next step.

 

[Dick]

I think you want to use x-y=(sqrt(x)+sqrt(y))*(sqrt(x)-sqrt(y)).

 

[kuahji]

Thanks, that works out much nicer.