Answer
$2y(2x-7y)(3x-y)$.
Work Step by Step
The given expression is
$=12x^2y-46xy^2+14y^3$
Factor out $2y$.
$=2y(6x^2-23xy+7y^2)$
Rewrite $-23xy$ as $-21xy-2xy$.
$=2y(6x^2-21xy-2xy+7y^2)$
Group terms.
$=2y[(6x^2-21xy)+(-2xy+7y^2)]$
Factor from each group.
$=2y[3x(2x-7y)-y(2x-7y)]$
Factor out $(2x-7y)$.
$=2y(3x-y)(2x-7y)$
Rearrange.
$=2y(2x-7y)(3x-y)$.
