Algebta (factoring polynomials)

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SUMMARY

The discussion focuses on factoring the polynomial expression x^2 * [ (1/2) * (1-x^2)^(-1/2) * (-2x)] + (1 - x^2)^(1/2) * (2x). The solution involves simplifying the expression to -x^3*(1- x^2)^(-1/2) + 2x(1 - x^2)^(1/2) and ultimately factoring it down to x * (2 - 3x^2)/ (sqrt(1 - x^2)). The key insight is recognizing the use of common denominators and factoring techniques to achieve the final form.

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OrbitalPower
[SOLVED] Algebta (factoring polynomials)

Homework Statement



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

factor this down.


Homework Equations


n/a


The Attempt at a Solution



-x^3*(1- x^2)^(-1/2) + 2x(1 - x^2)^(1/2)

I understand how you get to this part, but I can't get to:

x * (2 - 3x^2)/ (sqrt(1 - x^2))

after trying factoring by substitution etc.
 
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I figured it out. Get CD and factor - just thought i was missing some rule or something.
 

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