Nice forced mate in 9, but this isn't the only possible checkmate, so it isn't a great puzzle. 6. h4+ Kxh4 7. Qf6+ Bg5 8. Rh1+ Kg4 9. Qxf5# is also a forced mate in 9.
Brutal mate in 9
Also, it is weird that the black queen is a free lunch for the white queen. The puzzle looks more natural when you can avoid that!

Taking the queen just gets you an advantage but no forced mate. If you want, imagine the b pawn 2 spaces ahead.

There probably are multiple solutions, this is just one combination. Even for multiple routes to victory, good luck finding a mate in 9 without knowing it exists.
There probably are multiple solutions, this is just one combination. Even for multiple routes to victory, good luck finding a mate in 9 without knowing it exists.
A chess.com puzzle can't have more than one solution since the solver can then only find it by "guessing". You must always give him the opportunity to solve it in one streak without tries. It is a limitation of chess.com's puzzle GUI that it can only approve 1 solution. Hopefully one day they will let an engine check the solving moves and accept all successful moves.
Hard