Divide the rational expression.

x-11\6-x÷x^2-121\x-6

Man, you need to learn about parentheses. I think you mean

(x-11)/(6-x) ÷ (x^2-121)/(x-6)
= -(x-11)/(x-6) ÷ (x^2-121)/(x-6)
= -(x-11)/(x^2-121)
= -(x-11)/((x-11)(x+11))
= -1/(x+11)

The others can be done in the same way. Maybe you can show some of your work ,,,