# How do you factor  m^3 - 7m^2 - 4m + 28?

${m}^{3} - 7 {m}^{2} - 4 m + 28 = \left({m}^{3} - 7 {m}^{2}\right) - \left(4 m - 28\right)$
$= {m}^{2} \left(m - 7\right) - 4 \left(m - 7\right)$
$= \left({m}^{2} - 4\right) \left(m - 7\right)$
$= \left(m - 2\right) \left(m + 2\right) \left(m - 7\right)$