Question 417922
{{{(w-3)/(w-9)-(w+1)/(w+9)+(w-117)/(w^2-81)}}}


{{{(w-3)/(w-9)-(w+1)/(w+9)+(w-117)/((w+9)(w-9))}}}

((w+9)(w-9) is the LCD

multiply by the LCD

{{{((((w-3)(w+9)(cross(w-9)))/(cross(w-9)))-(((w+1)(cross(w+9))(w-9))/(cross(w+9)))+(w-117))/((w+9)(w-9))}}}


{{{((w-3)(w+9)-(w+1)(w-9)+w-117)/((w+9)(w-9))}}}


{{{(w^2+6w-27-(w^2-8w-9)+w-117)/((w+9)(w-9))}}}
{{{(w^2+6w-27-w^2+8w+9+w-117)/((w+9)(w-9))}}}
{{{(15w+135)/((w+9)(w-9))}}}
{{{(15(w+9))/((w+9)(w-9))}}}
{{{15/(w-9)}}}