Find all the vertical asymptotes and holes of `((x+2)(x+4)^3)/((x+4)(x+2)^3(2x+3)(x-4))`.

Find all the vertical asymptotes and holes of ((x-3)^2(x-4))/((x-5)(x-3)) .

Find, all the vertical asymptotes and holes of ((x+2)(x+1)(x-3))/(x^2(x-3)(3x+8))

Find the vertical asymptotes and holes of (x(x+5)^4(x-2)^6)/((x+5)^6(x-2)^3(x-5))

Find the vertical -asymptotes and holes of (x^2(x+7)^2(x-2)^3)/(x(x^2+7)) .

Find the vertical asymptotes and holes of (3(2x+5)^3(8x-3)^2(x-3))/(2(8x-3)^2(2x+5)) .

Find the vertical asymptotes and holes of ((x-10)(x-20)^2(x-30)^3(x-40))/((x-10)^3(x-20)^2(x-30)(x-50)) .

Find all the vertical asymptotes of ((x-2)^2(x+2)(x+1)(x-3))/(x^3(x-3)(3x+8))

Find the horizontal asymptote of ((2x+9)(5x-4))/((x-3)(x-5)(2x-11))