Ask HN: Can I display embedded YouTube videos in my mobile app?

I've got a playlist of helpful videos that I've put together over the past few years.

I'm wondering if I'm allowed to show my users these videos through my mobile app, playing through the embedded HTML.

NOTE: I am NOT downloading these videos, nor attributing them to me. I am simply using YouTube's embed video feature and wondering if I can use that to show videos through my mobile app.