Consider $64w^{6}z^{9}-27y^{3}$ as a polynomial over variable $w$.
$$64z^{9}w^{6}-27y^{3}$$
Find one factor of the form $kz^{m}w^{n}+p$, where $kz^{m}w^{n}$ divides the monomial with the highest power $64z^{9}w^{6}$ and $p$ divides the constant factor $-27y^{3}$. One such factor is $-3y+4w^{2}z^{3}$. Factor the polynomial by dividing it by this factor.
