Consider $w^{5}-z^{5}$. Consider $w^{5}-z^{5}$ as a polynomial over variable $w$. Find one factor of the form $w^{k}+m$, where $w^{k}$ divides the monomial with the highest power $w^{5}$ and $m$ divides the constant factor $-z^{5}$. One such factor is $-z+w$. Factor the polynomial by dividing it by this factor.
