بعد أن أعود إلى البيت، أكتب الواجب على صفحة نظيفة.

After I return home, I write the homework on a clean page.

Breakdown of بعد أن أعود إلى البيت، أكتب الواجب على صفحة نظيفة.

• الى: to
• يعود: to return
• أن: (subordinating particle)
• بعد: after

Questions & Answers about بعد أن أعود إلى البيت، أكتب الواجب على صفحة نظيفة.

Why is there no separate word for I in this sentence?

Because the verbs already show the subject. In أعود and أكتب, the prefix أ- tells you the subject is I.

So Arabic does not need أنا here. You could say أنا أكتب for emphasis, contrast, or clarity, but normally it is omitted.

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What does بعد أن mean, and why are both words needed?

بعد means after, and أن introduces a following verb clause, roughly like after [someone] does... or after [to]... depending on how you think about it.

So:

• بعد = after
• أن أعود = that I return / returning

Together, بعد أن أعود means after I return.

In Modern Standard Arabic, this is a very normal way to introduce a time clause before another action.

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Why is the verb أعود used after أن? Does أن change the verb form?

Yes. After أن, the imperfect verb is normally in the subjunctive mood.

So in fully vowelled Arabic, this would be:

• أعودُ = I return / I am returning (indicative)
• أعودَ = I return, after أن (subjunctive)

But in normal unvowelled writing, both are written , so you do not see the difference unless short vowels are added.