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

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Answer 1 · 2015-09-26T06:23:13

See explanation.

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

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

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

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