Consider $8x^{3}-27y^{3}-4x+6y$ as a polynomial over variable $x$.
$$8x^{3}-4x-27y^{3}+6y$$
Find one factor of the form $kx^{m}+n$, where $kx^{m}$ divides the monomial with the highest power $8x^{3}$ and $n$ divides the constant factor $-27y^{3}+6y$. One such factor is $2x-3y$. Factor the polynomial by dividing it by this factor.
