The discussion centers on simplifying the expression (x * x/sqrt(1+x^2))/sqrt(1+x^2)-1. The user initially simplifies it to (x^2 (1 + x)^(1/2) - x^2)/(1 + x)^(1/2) but encounters difficulties in further simplification. Another participant points out a potential error in the user's simplification and suggests an alternative approach using the expression x^2 * (1+x^2)^-1/2 * (1+x^2)^(1/2) to continue the simplification process.
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mkeg1 said:Homework Statement
Started at (x * x/sqrt(1+x^2))/sqrt(1+x^2)-1
Homework Equations
The Attempt at a Solution
now I am at
(x^2 (1 + x)^(1/2) - x^2)/(1 + x)^(1/2)
I am stuck on how to simplify further