https://www.chess.com/blog/HasanElias/exact-relative-value-of-chess-pieces-and-fairy-chess-pieces
If a Queen is a Rook + Bishop, why isn't it worth 8 points?
I feel like it is because the rook and bishop CAN be worth nine points in certain positions if they are coordinated correctly. However, a queen is usually coordinated with itself. Thus, it is nine points. Also, the bishop and rook's potential moves can overlap, while a queen cannot overlap with itself. Because of this, a queen can have more "potential moves" then a rook and bishop, thus the one extra point.
That is the chess world and chess judgement. My theory is that since a rook goes straight, and the bishop goes diagonally, those are the moves of a queen. So generally speaking, I don't think the points matter at the moment.
overall point values are just an estimation of piece value, their real value has to be evaluated based on the position at hand.
I feel like it is because the rook and bishop CAN be worth nine points in certain positions if they are coordinated correctly. However, a queen is usually coordinated with itself. Thus, it is nine points. Also, the bishop and rook's potential moves can overlap, while a queen cannot overlap with itself. Because of this, a queen can have more "potential moves" then a rook and bishop, thus the one extra point.
The truth is that 2 pieces, let's say Rook and Bishop, they worth less working together. If Bishop is 3.375 and Rook is 5, then the 2 pieces Rook and Bishop worth much less than 8.375, whereas the Queen worths 8.375, not 9. That is the key of the whole story.
I think it has to do with the fact that it can move to different colored diagonals (it can take on the job of the LSB or DSB) which is worth more than one Bishop.
That's an interesting thought. So with that logic, we should ask why isn't R+B+B (different colored Bs) = Q
Because the 2Bs are present on both LS and DS diagonals at the same time, and the queen isn't?
R+2B are passively more powerful than a queen. On the other hand, repositioning them takes far long time than a Queen does. How much this disadvantage means depends on the position, and above all else, King safety concerns.
If both Kings are safe behind pawns, R+2B will beat the Q, as she can only defend pawns once, while R+2B can attack twice on any color. The King can't help, since that would lead to a Q-for-(R+B) trade, leaving the other Bishop to win the game (assuming there are pawns left).