{"book":"adl0258","page":186,"text":"۱۸۱\nمثال ۶۴لا۴-لاؤ را مضروبات تفریق کنید\n۶۴لا۴-لاؤ=لا(۶۴لا۳-ؤ)\n=لا{(۴لا)۳-(ؤ)۳}\n=لا(۴لا-ؤ){(۴لا)۲+(۴لا)(ؤ)+(ؤ)۲}\n=لا(۴لا-ؤ)(۱۶لا۲+۴لاؤ+ؤ۲)\n=لا(۲لا+و)(۲لا-و){(۱۶لا۲+۸لاؤ+ؤ۲)-(۴لاؤ)}\n=لا(۲لا+و)(۲لا-و){(۴لا+ؤ)۲-(۲لاو)۲}\n=لا(۲لا+و)(۲لا-و)(۴لا+ؤ+۲لاو)(۴لا+ؤ-۲لاو)\nبصورت دیگر\n۶۴لا۴-لاؤ=لا(۶۴لا۳-ؤ)\n=لا(۸لا-ؤ)(۸لا+ؤ)\n=لا(۲لا-و)(۴لا۲+۲لاو+ؤ)(۲لا+و)(۴لا۲-۲لاو+ؤ)\n=لا(۲لا-و)(۲لا+و)(۴لا۲+۲لاو+ؤ)(۴لا۲-۲لاو+ؤ)\nمسئله (۴۳)\nجملهای ذیل را مضروبات تفریق کنید :-\n(۱) ۱-۸ ب۳ (۲) ژ-۱۲۴لا۳ (۳) ۵۱۲لا۹+۱ (۴) ژ-۵۱۲ ب۹\n(۵) ۲۷+۱۲۵لا (۶) م۶-ن۶ (۷) ۳۴۳لا۳+۵۱۲ی۳ (۸) ۶۴لا۶-۱\n(۹) ۱-۶۴لا۱۲ (۱۰) ۱۲۵لا۶-۲۱۶ (۱۱) ۶۴آ۳ ب+۳۴۳دت۳\n(۱۲) ۷۲۹لائی۳-۶۴لا۳ی۶ (۱۳) (آ+ب)۳+۸آب۳\n(۱۴) (۲لا-۳ی)۳+ی۳ (۱۵) (۲آ-ب)۳-ب۳","chars":667,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00186.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/adl0258/186","canvas":"https://afghanpress.org/iiif/adl0258/canvas/186","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."}}