X to the 2nd power minus 4x over x to the second power minus 16 divided by x to the 2nd power plus 2x minus 24 over x to the 2nd power minus 2x minus 24?

Would you mind typing it out for me? I don't quite understand exactly what you are asking.

For example, x to the second power minus 4x over x to the second power minus 16 would be...

x^2-4x/x^2-16

Do you mind typing it out like that? Because what you wrote makes no sense at all.