Chapter 5 - Section 5.7 - Factoring by Special Products - Exercise Set - Page 310: 81

$V=x(x+y)(x-y)$

Using $V=x^3$ or the volume of a cube, then the volume of the entire cube is $V=x^3$ and the volume of the hole is $V=xy^2.$ Subtracting these two volumes, then the volume of the solid figure is \begin{array}{l}\require{cancel} V=x^3-xy^2 \\ V=x(x^2-y^2) \\ V=x(x+y)(x-y) .\end{array}