Question

Factor as indicated: radical(x^2+1)-x^2/radical(x^2+1). One of the factors must be 1/radical(x^2+1).

Answer 1

\[\sqrt{x^2+1}-\frac{x^2}{\sqrt{x^2-1}}\] like that?

Answer 2

if you have to have one factor as
\[\frac{1}{\sqrt{x^2+1}}\] then you have to factor it out
\[\frac{1}{\sqrt{x^2+1}}\left(x^2+1-x^2\right)\]

Answer 3

the point being that you had
\[\frac{1}{\sqrt{x^2+1}}\] to begin with

Answer 4

Yes, like that. That's what I got, but on my assignment it has that and then parentheses next to it, indicating another factor. So I guess I just put a one in the other parentheses because it's a trick question?