Consider $-10a^{2}-3ab+b^{2}$ as a polynomial over variable $a$.
$$-10a^{2}-3ba+b^{2}$$
Find one factor of the form $ka^{m}+n$, where $ka^{m}$ divides the monomial with the highest power $-10a^{2}$ and $n$ divides the constant factor $b^{2}$. One such factor is $2a+b$. Factor the polynomial by dividing it by this factor.