Consider $x^{3}+y^{3}-12xy+64$ as a polynomial over variable $x$.
$$x^{3}-12yx+y^{3}+64$$
Find one factor of the form $x^{k}+m$, where $x^{k}$ divides the monomial with the highest power $x^{3}$ and $m$ divides the constant factor $y^{3}+64$. One such factor is $x+y+4$. Factor the polynomial by dividing it by this factor.
