Learn Dutch: Mogen we uw kantoor bezoeken?

Uw is the formal version of your. You use it when you want to be polite or respectful, such as when speaking to a boss, a client, or a stranger. If you were asking a friend or close colleague, you would use jouw instead.

Does uw change depending on whether kantoor is a de word or a het word?

No, it doesn't! While the Dutch word for our changes based on the noun (ons vs. onze), the formal your is always uw. It stays exactly the same whether it comes before a de word, a het word (like het kantoor), or a plural noun.

Why is the verb bezoeken at the very end of the sentence?

This sentence uses the verb mogen (may / to be allowed to). When you use a modal or helper verb like this in Dutch, the main action verb in the sentence (bezoeken, meaning to visit) gets pushed to the very end in its full dictionary form.

Why is the word order Mogen we instead of We mogen?

Because this is a yes/no question. To turn a normal statement like We mogen (We may) into a question, you swap the verb and the subject, putting the verb first: Mogen we (May we).