The below video is wartime propaganda so it should be cut a little slack. No country is going to tell a complete set of facts while it is still fighting a war. And in a lot of ways, the it does a pretty good job of conveying how hellish the battle was without getting too gruesome about it (in fact, it took the President of the United States to release this video during war time). But for all its educational value, it does present a skewed view of the battle to hide some critical errors that the US leadership made.
This article presents a fairly concise look at the major error made by US forces. And of course, there is always the Wikipedia overview (which also contains the history of the above video).