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.