Suppose we write $\displaystyle{64}{{r}}^{{9}}+{27}{{s}}^{{6}}\usepackage{cmbright}\Huge\$ as $\displaystyle{{X}}^{{3}}+{{Y}}^{{3}}\usepackage{cmbright}\Huge\$ . Determine $\displaystyle{X}\usepackage{cmbright}\Huge\$ and $\displaystyle{Y}\usepackage{cmbright}\Huge\$ and give the factorization.