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I don't see the simplifies result @MarkRijckenberg

Is this the expression you're looking at?
\[\frac{\frac{4x}{x^2 - 9}}{\frac{8x^2}{x^2 + 6x + 9}}\]

Yes that is correct.

\[1/2\,{\frac {x+3}{ \left( x-3 \right) x}}\]

from wolfram if you type it like this
4*x/((x^2-9)*(8*x^2/(x^2+6*x+9)))

Or you could just write it down and do the algebra . . .

Guys, both your formula's give the same results in WolfRam....

Yep, and neither shows Lindsey how to do it herself.