# How do you factor 48x^2y + 20xz +12xy + 5z?

Examine the expression $48 {x}^{2} y + 20 x z + 12 x y + 5 z$ for pairs of terms with common factors, then group those terms and extract the common factors:
$\left(48 {x}^{2} y + 12 x y\right) + \left(20 x z + 5 z\right)$
$\left(12 x y\right) \left(4 x + 1\right) + \left(5 z\right) \left(4 x + 1\right)$
$\left(4 x + 1\right) \left(12 x y + 5 z\right)$