Answer
$4xy^5(x+8)(x-2)$.
Work Step by Step
The given expression is
$=4x^3y^5+24x^2y^5-64xy^5$
Factor out $4xy^5$.
$=4xy^5(x^2+6x-16)$
Rewrite $6x$ as $8x-2x$.
$=4xy^5(x^2+8x-2x-16)$
Group terms.
$=4xy^5[(x^2+8x)+(-2x-16)]$
Factor from each group.
$=4xy^5[x(x+8)-2(x+8)]$
Factor out $(x+8)$.
$=4xy^5(x+8)(x-2)$.