Answer
$ -(x+5y)\sqrt[3] {2xy} $
Work Step by Step
$\sqrt[3] {16x^4y}-3x\sqrt[3] {2xy} +5\sqrt[3] {-2xy^4}=2x\sqrt[3] {2xy}-3x\sqrt[3] {2xy} -5y\sqrt[3] {-2xy}=-(x+5y)\sqrt[3] {2xy} $
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.