Learn Turkish: Bu robotun temizleyebileceği odalar büyük. - The rooms that this robot can clean are big.

It combines the verb root temizle (clean) with the ability suffix -ebil (can), the object participle -ecek (which becomes -eceğ), and the possessive suffix -i. The y is a buffer letter between the vowels. Literally, it forms a structure like "its can-clean-able".

Why is the word for robot written as robotun with a genitive ending?

In Turkish object relative clauses, the subject of the action takes the genitive case, and the verb takes a possessive ending. Because the robot is the one doing the cleaning, it takes the genitive -un to link with the possessive -i on temizleyebileceği. You can think of it literally as "this robot's can-clean-able rooms".

Why does the participle suffix -ecek end with a ğ here?

When the vowel-starting possessive suffix -i is added to -ecek, it triggers consonant mutation. The hard k softens into a ğ because it becomes sandwiched between two vowels.

Does the use of the -ecek participle mean this sentence is about the future?

Not necessarily. While -ecek is normally the future participle, when it combines with the ability suffix -ebil, it frequently describes a general capability rather than a strictly future event. Here, it just means the rooms the robot has the ability to clean in general.