# How do you factor 125y^3z - z ?

$125 {y}^{3} z - z = z \cdot \left(125 {y}^{3} - 1\right) = z \cdot \left({\left(5 y\right)}^{3} - 1\right) = z \cdot \left(5 y - 1\right) \cdot \left(25 {y}^{2} + 5 y + 1\right)$
${a}^{3} - 1 = \left(a - 1\right) \cdot \left({a}^{2} + a + 1\right)$