{"book":"adl0258","page":243,"text":"۲۳۸\nمثال ۲ ۳ اب (ا - ب) را مختصر کنید\n۳ اب (ا+ب)\nاب (ا-ب)_اب(ا+ب)(ا-ب)_(ا-ب)\n۳اب (ا+ب) ۳ اب(ا+ب)(ا-ب+ب) ۳اب(ا-اب+ب\nمثال ۳ لا+۳لا-۴۰ را مختصر کنید\nلا+۴لا-۳۲\nصورت=(لا+۸)(لا-۵) و مخرج=(لا+۸)(لا-۴)\n. : کسر مفروض=(لا+۸)(لا-۵)_لا-۵\n(لا+۸)(لا-۴) لا-۴\nمثال ۴ ۲ا+۳ولا-۲وب-۳ب لا را مختصر کنید :\n۳ا-۲ولا-۳وب+۲ب لا\nصورت=۲ا(ا-ب)+۳لا(ا-ب)=(۲ا+۳لا)(ا-ب)\nو مخرج=۳ا(ا-ب)-۲لا(ا-ب)=(۳ا-۲لا)(ا-ب)\n. : کسر مفروض=(۲ا+۳لا)(ا-ب)_۲ا+۳لا\n(۳ا-۲لا)(ا-ب) ۳ا-۲لا\nمثال ۵ ۳لا-۲۷ولا-۷۸ول-۲۷و را مختصر کنید\n۳لا+۱۵ولا-۱۲ولا-۸۴و\nصورت=۳(لا-۹ولا+۲۶ولا-۲۴و) و مخرج=۳(لا+۵ولا-۴ولا-۲۴و\nقاسم مشترک اعظم آنها را معلوم کنید :-\nلا+۵ولا-۴ولا-۲۴و\nلا-۹ولا+۲۶ولا-۲۴و\n۴اولا) ۱۴ولا-۲۸ولا\nلا-۲و\nلا-۲و) لا-۹ولا+۲۶ولا-۲۴و(لا-۷ولا+۱۲و\nلا-۲ولا\n-۷لا+۲۶ولا\n-۷لا+۱۴ولا\n۱۲ولا-۲۴و\n۱۲ولا-۲۴و\n. : قاسم مشترک اعظم =لا-۲و","chars":756,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00243.jpg","first_page":1,"last_page":309,"title":"Kitāb-i jabr va muqābalah ‏كتاب جبر و مقابله Silsilah-ʼi Mūʼallifāt-i Madrasah-i Mubārakah-i Ḥabībīyah-ʼi Dār al-Salṭanah-ʼi Kābul","permalink":"https://afghanpress.org/book/adl0258/243","canvas":"https://afghanpress.org/iiif/adl0258/canvas/243","source":"https://afghanistandl.nyu.edu/books/adl0258/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0258_download.pdf","rights":{"image":{"statement":"Public domain. NYU states: \"All works presented on this website are, unless otherwise indicated, in the public domain. The images available on this website may be freely reproduced, distributed and transmitted by anyone for any purpose, commercial or non-commercial.\"","uri":"http://rightsstatements.org/vocab/NoC-US/1.0/","holder":"New York University Libraries","source":"https://afghanistandl.nyu.edu/about.html","delivery":"Images are served from a copy mirrored by this project, not from NYU's servers, under the reproduction terms above.","endorsement":"This is an independent project. It is not affiliated with, endorsed by, or reviewed by New York University."},"text":{"statement":"Machine-generated transcription, dedicated to the public domain under CC0 1.0. No warranty of accuracy: see the provenance block on every page.","uri":"https://creativecommons.org/publicdomain/zero/1.0/","holder":"Steps Ventures"}},"provenance":{"text_produced_by":"gemini-3.1-pro-preview","thinking_level":"low","read_completed":"2026-08-09","per_page_confidence":null,"per_page_confidence_note":"Not recorded during the corpus run. No calibrated per-page score exists, and none is estimated here.","human_reviewed":false,"accuracy_context":"Roughly two thirds of characters agree with a modern printed edition of the same text. Much of the disagreement is editorial, not misreading. Treat the transcription as a finding aid and read the page image before quoting.","primary_source":"The page image. The text is an index into it."}}