Consider $8a^{2}-45ab-18b^{2}$ as a polynomial over variable $a$.
$$8a^{2}-45ba-18b^{2}$$
Find one factor of the form $ka^{m}+n$, where $ka^{m}$ divides the monomial with the highest power $8a^{2}$ and $n$ divides the constant factor $-18b^{2}$. One such factor is $8a+3b$. Factor the polynomial by dividing it by this factor.