The first two expansions are apart of the digital upgrade program and will download for free.
The Taken King is not apart of the digital upgrade program though, so if you want it on both consoles, you'll need to buy it for both.
[quote]UPDATE: Many players have benefited from this limited-time offer since it was first issued. To enable more people to take advantage of the offering, it was extended for the Expansion Pass, Expansion I, and Expansion II. Destiny: The Taken King is not part of this offer and is therefore not available in the Digital Upgrade Program.[/quote]
[url=https://www.bungie.net/en/Help/Article/12122 ]The Upgrade Program FAQ[/url]
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Thank you!