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use a^3-b^3 formula for numerator

not sure if that's going to do the trick
we get on the top line (sqrtx -3)(x+3sqrtx +9)

bottom also we can factor : \( x- 9 = (\sqrt{x})^2 - 3^2\)

yes of course!

over to you ham and bones

Yes it does.
Top line (sqrtx -3)(x+3sqrtx+9)
Bottom line (sqrtx+3)(sqrtx-3)