Another puzzle I don't understand

Hi guys. I'm trying to make sense of these puzzle but I'm struggling to understand it.

1) lichess.org/training/736257614

You win a knight. But there is a follow-up tactic for black, B6. So then you loose the bishop. Where is the winning advantage for white after this?

2) lichess.org/training/437597590.

White just took your rook. And yes, with the solution, a simple tactic which I saw, you could take it back. However, where is the advantage? You lost a rook, then you traded the queens and you took their rook back. Now it's a bishop vs knight endgame. So where is the advantage for black? Your bishop is of the wrong color to be advantageous and start taking their pawns. Is the only advantage the two pawns for black, is that what you needed to see?

Answering your second question: winning the endgame with two extra pawns should be straightforward, Black needs to slowly advance the king and the pawns on the kingside. There are two things to watch out for:

1. Avoid a blockade on the dark squares. When the pawns are on the same rank, always push the one moving to a light square first.
2. Take care that the white knight does not get access to f5 when you push the g-pawn.

I suggest that you analyze the position with an engine, or even better play it out with a sparring partner to see how Black wins this endgame.

What you needed to see to solve the puzzle is that taking the rook with the queen allows perpetual check, so Black must trade queens first to have any winning chances.

@zwenna said in #2:
> Answering your second question: winning the endgame with two extra pawns should be straightforward, Black needs to slowly advance the king and the pawns on the kingside. There are two things to watch out for:
>
> 1. Avoid a blockade on the dark squares. When the pawns are on the same rank, always push the one moving to a light square first.
> 2. Take care that the white knight does not get access to f5 when you push the g-pawn.
>
> I suggest that you analyze the position with an engine, or even better play it out with a sparring partner to see how Black wins this endgame.
>
> What you needed to see to solve the puzzle is that taking the rook with the queen allows perpetual check, so Black must trade queens first to have any winning chances.

Thank you for your response. I can now see how it is winnable and your tips for converting are great.

@nielsvermeiren said in #1:
> Hi guys. I'm trying to make sense of these puzzle but I'm struggling to understand it.
>
> 1) lichess.org/training/736257614
>
> You win a knight. But there is a follow-up tactic for black, B6. So then you loose the bishop. Where is the winning advantage for white after this?

Just follow engine next moves: after b6, White can play Nc6 threatening the Rook so Bishop can be safely relocated, or fxe4 winning another Knight.

@OctoPinky said in #5:
> Just follow engine next moves: after b6, White can play Nc6 threatening the Rook so Bishop can be safely relocated, or fxe4 winning another Knight.
Why not try thinking for yourself without an engine?

@ChessMan1969 said in #7:
> Why not try thinking for yourself without an engine?

Because I wasn't showing my superior mind, just trying to suggest OP a way to understand puzzles solutions in case they can't figure out by themselves.