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to make a request we can you open the window?

The sentence in your title is not correct English. A natural way to make that request is:

“Could you open the window, please?”

What sounds natural

More common, polite versions:

  • Could you open the window, please?
  • Can you open the window, please? (slightly more casual)
  • Would you mind opening the window? (very polite)

Your original:

to make a request we can you open the window?

has several issues: wrong word order, extra words, and incorrect use of can.

Simple grammar fix

If you want a pattern to follow, use:

  • Could you + base verb + object, please?
    • Could you open the window , please?
    • Could you close the door , please?

Or:

  • Would you mind + verb-ing + object?
    • Would you mind opening the window?

Mini “forum-style” note

If this were a language-learning forum post, someone might reply:

If you want to sound polite and natural in everyday conversation, say “Could you open the window, please?” Your version sounds confusing and ungrammatical in standard English.

TL;DR:
Don’t say “to make a request we can you open the window?” ; say “Could you open the window, please?” or “Would you mind opening the window?” instead.

Information gathered from public forums or data available on the internet and portrayed here.