Please simplify this rational expression

x^2-6x-27 multiplied by x^2 +8x+16 over x^2-18x-81 multiplied by x^2+ 7x+12

(x^2-6x-27 )(x^2+8x+16)/(x^2-18x-81) (x^2+7x+12)

= (x-9)(x+3)(x+4)(x+4)/((x-9)(x-9)) (x+3)(x+4)
= (x+3)^2 (x+4)^3 / (x-9)

did you mean at the end ....
over (x^2-18x-81 multiplied by x^2+ 7x+12) ?