Consider $8x^{3}-125y^{3}+180xy+216$ as a polynomial over variable $x$.
$$8x^{3}+180yx-125y^{3}+216$$
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 $-125y^{3}+216$. One such factor is $2x-5y+6$. Factor the polynomial by dividing it by this factor.
