Sometimes, it's better to simplify things which means trading pieces of course. If you took with the bishop, opponent will never capture the bishop because it's a low value piece. At the end of the sequence, you are a pawn up (and it's a passed pawn) and it will be an easy endgame. If you're up a pawn or two and it's endgame, better trade your pieces. Also practice King and Pawn vs King endgame.
Also I suggest also watching ChessNetwork's Beginner to Chess Master series; It's very good for beginners. https://youtu.be/CSA9se6t82I
Your explanation makes sense, Dreizzle, but the video doesn't. The guy just says it's okay to attack with your most valuable piece "because the opponent also loses a rook" and that's just wrong... As Marlan35 pointed out, at the end you have a knight instead of a rook, and that's a hell of a difference for the end game. Tempting your opponent to lose its rook is convincing; losing a rook instead of a knight just because "you're still up in the count" is a terrible argument.
So, at 1:40 in the video, white starts the trade with the bishop, but black answers with the rook instead of the bishop.
Would it not be a better play to answer with the bishop first, because you invest a lower point piece into the possible continuation of the trade, and if white does go through with their rook, you end the trade with your own rook which is worth 5 points.
I'm maybe overthinking this and missing something or breaking rules, I'm new to actually learning about the game instead of just mindlessly moving the cool pieces with no game plan or even knowledge of the importance of the center, but it seems that if black opens with the bishop in the trade, they come out more ahead no matter what happens next, and they set themselves up for a bigger win by the end of it.
Either they trade a pawn for a bishop, and 1 for 3, or white pushes on with their rook and black trades a pawn and a bishop for a bishop and a rook, and have their rook left alive, which should be a 4 for 8, right?
Or it's just not the focus of the current lesson, but they do go on to bring up the order of captures directly after, and I'd assume these clips would want to show the optimal line of play for the winning side.
Or is that they want a bigger trade to push them to the end game since they'd be ahead in points/pieces at that stage with such a trade, and black using the rook first forces the trade since it attacks the white rook?