Question

(x+÷

Answer 1

$(x+\frac{9}{x-6}):\frac{3x^2-18x+27}{x^2-36}=\frac{x(x-6)+9}{x-6}:\frac{3\cdot (x^2-6x+9)}{(x-6)(x+6)}=\\\\=\frac{x^2-6x+9}{x-6}\cdot \frac{(x-6)(x+6)}{3(x^2-6x+9)}=\frac{x+6}{3}$

Answer 2

It seems like there is a typographical error in the expression you provided. It's not clear what you intended with "x+÷". The "÷" symbol usually represents division, but it's not clear what you want to divide by.

If you can provide the complete and accurate expression you have in mind, I'd be happy to help you with it!