Question

How do you factor `(x^2 +1)^(1/2) + 2(x^2 +1)^(-1/2)`?

Answer 1

See explanation.

Explanation:

Remove a factor `(x^2+1)^(-1/2)` (the lesser power)

`(x^2+1)^(-1/2)[(x^2+1)+2]`

`= (x^2+1)^(-1/2)(x^2+3)`