Posted by Paula on Monday, March 22, 2010 at 10:12pm.
How to factor (x/x2)(x+2/x)
my answer is x^2x2/x
and (3+sq rt 5)*(3sq rt 5)
my answers are either 4 or 3*sq rt 5^2
are any of these right?
Thanks so much for all of your help.

math  Reiny, Monday, March 22, 2010 at 10:26pm
I have a feeling your question is
x/(x2)  (x+2)/x
Factoring doesn't make much sense, more than likely it says "simplify", am I right?
for (3 + √5)(3  √5)
You should recognize the 'difference of squares' patter, or you could just expand it
= 9  5 = 4
4 is the only answer 
math  Paula, Monday, March 22, 2010 at 10:32pm
Yes, you are right. It does say simplify.

math  Reiny, Monday, March 22, 2010 at 10:38pm
back to x/(x2)  (x+2)/x then
common denominator is x(x2)
so x/(x2)  (x+2)/x
= [x^2  (x+2)(x2)] / [x(x2)]
= (x^2  x^2 + 4)/[x(x2)]
= 4/(x(x2)) 
math  Paula, Monday, March 22, 2010 at 10:41pm
I changed my answer to
x/(x2)  (x+2)/x to 4/x(x2)
Is that right? 
math  Paula, Monday, March 22, 2010 at 10:42pm
got it, thanks!