Subtract the rational expression as indicated be sure to express your answer in simplest form. By inspection, the least common denominator of the given factor is

Given the expression:
[tex]\frac{9x}{x-7}-8[/tex]we can perform a sum of fractions to get the following:
[tex]\frac{9x}{x-7}-8=\frac{9x-8(x-7)}{x-7}=\frac{9x-8x+56}{x-7}=\frac{x+56}{x-7}[/tex]therefore, the final expression is x+56 / x-7, with least common denominator x-7