Answer:
The two polynomials one of which is in Numerator and another one which is in Denominator
[tex]\rightarrow \frac{a_{n}^2-a_{n}-6}{a_{n}+8}\\\\\text{Splitting the middle term}\\\\\rightarrow \frac{a_{n}^2-3a_{n}+2a_{n}-6}{a_{n}+8}\\\\\rightarrow \frac{a_{n}\times (a_{n}-3)+2\times(a_{n}-3)}{a_{n}+8}\\\\\rightarrow \frac{(a_{n}-3)(a_{n}+2)}{a_{n}+8}[/tex]
