Simplify Function Homework: Stuck on Further Simplification

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The discussion revolves around simplifying the expression (x * x/sqrt(1+x^2))/sqrt(1+x^2)-1. The user has reached an intermediate form: (x^2 (1 + x)^(1/2) - x^2)/(1 + x)^(1/2) but is unsure how to proceed. Another participant suggests that the simplification may be incorrect and provides an alternative approach using properties of exponents. The conversation highlights the challenge of further simplification and encourages collaboration to resolve the issue. The focus remains on finding a clearer path to simplify the original expression effectively.
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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
 
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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

Your simplification looks wrong, unless I'm reading the problem incorrectly.

(x * x / sqrt(1+x^2)) / sqrt(1+x^2)-1
x^2 * (1+x^2)^-1/2 * (1+x^2)^1/2
Can you go on from there?
 
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