直接予約と他サイトからの予約は一緒の値段ですか？って英語でなんて言うの？

In order to ask a hotel whether the price is the same or not whichever way you book, you can ask, "Is it less expensive to make a reservation with the hotel directly or on another site?". This is a direct question, and you can now find out whether or not the price is the same on all booking platforms.

The hotel staff may not know about hotel booking websites so it would be best to ask them if there are any special discounts or promotions for people who book directly with the hotel. A "third party" refers to a hotel booking website or travel agency. I hope that this helps. :)

1. "Is it cheaper to book through the company or through a third party?" - the company can be changed to ask about a specific hotel, airline, etc.
   Third party - this refers to a company that works in between you and the hotel, airline, etc. that you want to book with. Sometimes there is a discount for using their service, but not always.
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   2. "Will it cost the same to book directly or with a third party website?"
      Cost the same - This is a way to ask if the price of the room or ticket identical at both locations.
      Directly - without a third party company. Going straight to the hotel ore airline website to make your purchase.

When contacting a hotel. If you want to know if it is the same price to book directly with the hotel / through a different site, then you may try one of the above suggests questions.

If you was the ask the price difference this would mean the difference in price when a product is sold in more than one place.

When talking about booking a hotel then you can usually book through the hotel or another company
The other company is referred to as a 'third party'
If something does not cost as much money then it is said to be 'cheaper'