Disponemos los libros sobre la mesa.

Disponemos is present indicative, first person plural: we arrange / we set out / we place.

It comes from the infinitive disponer.

So:

• yo dispongo
• tú dispones
• él / ella / usted dispone
• nosotros / nosotras disponemos
• vosotros / vosotras disponéis
• ellos / ellas / ustedes disponen

Spanish often omits subject pronouns because the verb ending already shows who is doing the action.

Here, -emos tells you it is we, so nosotros is not necessary.

You could say Nosotros disponemos los libros sobre la mesa, but it usually sounds more natural without nosotros unless you want emphasis or contrast.

It is not completely regular. It follows the pattern of poner with the prefix dis-.

A useful point for learners:

• yo dispongo is irregular
• nosotros disponemos is more predictable

So in this sentence, disponemos may look regular, but the full verb has irregular forms in other persons and tenses.

Los libros uses the definite article, which is very common in Spanish when talking about specific things already understood in context.

Here, it suggests the books rather than books in general.

Using just libros would usually sound less natural in this kind of sentence unless you were speaking in a more general or special context.

Los libros is the direct object of the verb.

It is the thing being arranged or set out.

You can test this by asking:

• What do we arrange?
• The books

That is why there is no preposition before it.

Because los libros is a thing, not a person.

Spanish often uses the personal a with specific people:

• Veo a María

But normally not with inanimate objects:

• Veo los libros

So:

• Disponemos los libros = correct
• Disponemos a los libros = not correct here

Sobre here means on, on top of, or over.

In this sentence, sobre la mesa is a natural way to say that the books are being arranged on the table.

Spanish learners often compare sobre and en:

• sobre la mesa = on the table, on top of its surface
• en la mesa can sometimes be heard, but sobre is clearer for physical placement on a surface

So sobre la mesa is a good, straightforward choice here.

This is a very important distinction.

• disponer + direct object = to arrange, place, set out, organize
• disponer de + noun = to have at one’s disposal, to possess, to have available

So:

• Disponemos los libros sobre la mesa = We arrange/set out the books on the table
• Disponemos de libros = We have books available

In your sentence, there is no de because the books are the direct object of the action.

It is understandable, but it can sound more formal, careful, or a bit bookish in everyday conversation.

Depending on the exact meaning, Spaniards might often use:

• poner = to put
• colocar = to place
• ordenar = to arrange / put in order

For example:

• Ponemos los libros sobre la mesa
• Colocamos los libros sobre la mesa

So disponemos is grammatically fine, but it is not always the most casual everyday option.

Yes. Spanish word order is more flexible than English, although the original sentence is the most neutral.

Neutral order:

• Disponemos los libros sobre la mesa

If you want to emphasize the location, you could say:

• Sobre la mesa disponemos los libros

That sounds more marked or stylistic. The basic meaning stays the same, but the focus changes.

Yes, disponerse exists, but it does not mean the same thing here.

Disponer = to arrange, place, organize
Disponerse = to get ready, prepare oneself, be inclined to do something

For example:

• Se dispone a salir = He/She is getting ready to leave

So in your sentence, the non-reflexive disponer is the correct form.