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simplifying

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How do you even begin to simplify this?
(x2+1)*(1/2)X^(-1/2) - X^(1/2) * 2X
-----------------------------------
              1-3X^2
The methods I've chosen just turn out to be an even bigger jumbled mess. One way was to 'simplify' the numerator portions into two monomials and then try to get rid of the fraction in the numerator on the left side. That didn't work. I've also tried: after creating the monomials, seperating the entire expression into two seperate parts with equivalent denominators later trying to make the denominators common and trying to comine them from there, ...which also didn't work. Thanks in advance for any help!

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Mathematica says it's 1/(2*sqrt(x)) . I am too lazy to try myself.

EDIT: I tried by hand and it's trivial. Just multiply the numerator and the denominator by 2*sqrt(x) and you'll see that the numerator becomes (1-3x^2), which cancels with what you initially had in the denominator.

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