Loading [MathJax]/jax/output/CommonHTML/jax.js
Job

উৎপাদকে বিশ্লেষণ (Factorization)

- গণিত বীজগণিত (Algebra) | - | NCTB BOOK
common.please_contribute_to_add_content_into উৎপাদকে বিশ্লেষণ (Factorization).
Content

# বহুনির্বাচনী প্রশ্ন

(x24) (x24)
(x+4) (x-4)
(x+2)(x-2)
(x2+16) (x2-16)
টপ রেটেড অ্যাপ

স্যাট অ্যাকাডেমী অ্যাপ

আমাদের অল-ইন-ওয়ান মোবাইল অ্যাপের মাধ্যমে সীমাহীন শেখার সুযোগ উপভোগ করুন।

ভিডিও
লাইভ ক্লাস
এক্সাম
ডাউনলোড করুন
Promotion
Request history8.2.27PHP Version39.17msRequest Duration7MBMemory UsageGET job-solution/{slug}Route
    • Booting (25.97ms)time
    • Application (13.18ms)time
    • 1 x Booting (66.32%)
      25.97ms
      1 x Application (33.65%)
      13.18ms
      48 templates were rendered
      • academy.subject.read_chapterread_chapter.blade.php#?blade
      • academy.include.sidebarListsidebarList.blade.php#?blade
      • academy.include.left_sidebar_menuleft_sidebar_menu.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.sidebarSubListsidebarSubList.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • academy.include.question_cardquestion_card.blade.php#?blade
      • common.modal.self_test_modalself_test_modal.blade.php#?blade
      • common.modal.bookmark_modalbookmark_modal.blade.php#?blade
      • common.modal.error_report_modalerror_report_modal.blade.php#?blade
      • common.modal.video_modalvideo_modal.blade.php#?blade
      • common.script.page_type_scriptpage_type_script.blade.php#?blade
      • job.job_include.job_scriptjob_script.blade.php#?blade
      • common.script.activity_scriptactivity_script.blade.php#?blade
      • common.script.test_scripttest_script.blade.php#?blade
      • common.script.custom_dropdowncustom_dropdown.blade.php#?blade
      • common.script.follow_unfollow_scriptfollow_unfollow_script.blade.php#?blade
      • common.script.short_statistics_scriptshort_statistics_script.blade.php#?blade
      • common.script.navigator_sharenavigator_share.blade.php#?blade
      • layouts.satt-appsatt-app.blade.php#?blade
      • includes.header_link2header_link2.blade.php#?blade
      • laravelpwa::metameta.blade.php#?blade
      • layouts.headerheader.blade.php#?blade
      • layouts.toolbartoolbar.blade.php#?blade
      • frontend.downloadourappdownloadourapp.blade.php#?blade
      • frontend.referralreferral.blade.php#?blade
      • auth.user_type_modaluser_type_modal.blade.php#?blade
      • layouts.footerfooter.blade.php#?blade
      • common.login_modallogin_modal.blade.php#?blade
      • components.authentication-card-logoauthentication-card-logo.blade.php#?blade
      • common.includes.promotion_modalpromotion_modal.blade.php#?blade
      • common.includes.notification_item_modalnotification_item_modal.blade.php#?blade
      • common.includes.notification_item_list_modalnotification_item_list_modal.blade.php#?blade
      • common.includes.promotion_offcanvaspromotion_offcanvas.blade.php#?blade
      • includes.footer_link2footer_link2.blade.php#?blade
      • includes.restrictrestrict.blade.php#?blade
      • livewire-alert::components.scriptsscripts.blade.php#?blade
      • livewire-alert::components.flashflash.blade.php#?blade
      • admin.include.toastrtoastr.blade.php#?blade
      • common.search.search_scriptsearch_script.blade.php#?blade
      • common.script.promotion_scriptpromotion_script.blade.php#?blade
      • common.script.promotion_functionspromotion_functions.blade.php#?blade
      uri
      GET job-solution/{slug}
      middleware
      web, throttle:global
      controller
      App\Http\Controllers\Academy\SubjectController@chapter
      namespace
      prefix
      where
      as
      subject.chapter
      file
      app/Http/Controllers/Academy/SubjectController.php:102-110
      5 statements were executed1.26ms
      • SubjectService.php#43debugerror_satt570μsupdate `subjects` set `view_count` = `view_count` + 1, `subjects`.`updated_at` = '2025-03-15 00:36:11' where `id` = 217
        Bindings
        • 0: 2025-03-15 00:36:11
        • 1: 217
        Backtrace
        • app/Services/SubjectService.php:43
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
        • vendor/laravel/framework/src/Illuminate/Routing/Route.php:266
      • SubjectRepository.php#322debugerror_satt170μsselect * from `mediables` where `mediable_type` = 'App\\Models\\Subject' and `mediable_id` in (217)
        Bindings
        • 0: App\Models\Subject
        • 1: 217
        Backtrace
        • app/Repositories/SubjectRepository.php:322
        • app/Services/SubjectService.php:76
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
      • SubjectRepository.php#337debugerror_satt130μsselect `videos`.`video_src_url`, `mediables`.`mediable_id` as `chapter_id` from `videos` inner join `mediables` on `mediables`.`mediable_id` = `videos`.`id` where `videos`.`id` = 0 and `videos`.`video_src` = 'youtube' and `videos`.`deleted_at` is null
        Bindings
        • 0: 0
        • 1: youtube
        Backtrace
        • app/Repositories/SubjectRepository.php:337
        • app/Services/SubjectService.php:77
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
      • SubjectService.php#82debugerror_satt250μsselect `id`, `name`, `main_category_id`, `slug` from `subjects` where `id` <> 217 and `parent_id` = 169 and `main_category_id` = 1 and `subjects`.`deleted_at` is null limit 5
        Bindings
        • 0: 217
        • 1: 169
        • 2: 1
        Backtrace
        • app/Services/SubjectService.php:82
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
        • vendor/laravel/framework/src/Illuminate/Routing/Route.php:266
      • restrict.blade.php#30debugerror_satt140μsselect * from `package_plans` where `status` = 'active' and `package_plans`.`deleted_at` is null
        Bindings
        • 0: active
        Backtrace
        • view::includes.restrict:30
        • vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • vendor/livewire/livewire/src/Mechanisms/ExtendBlade/ExtendedCompilerEngine.php:22
        • vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:75
      App\Models\Subject
      5Subject.php#?
      App\Models\PackagePlan
      4PackagePlan.php#?
          _token
          G5hYjkJ7qDkkHZQqWpiVWiv1LbSs2rpihSjhpaNH
          _previous
          array:1 [ "url" => "https://debugerror.xyz/job-solution/%E0%A6%89%E0%A7%8E%E0%A6%AA%E0%A6%BE%E0%A6...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          path_info
          /job-solution/%E0%A6%89%E0%A7%8E%E0%A6%AA%E0%A6%BE%E0%A6%A6%E0%A6%95%E0%A7%87-%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%8D%E0%A6%B2%E0%A7%87%E0%A6%B7%E0%A6%A3
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:21 [ "x-https" => array:1 [ 0 => "1" ] "cookie" => array:1 [ 0 => "XSRF-TOKEN=eyJpdiI6ImRQOGIyeSttNi8wRWF4aDc4ZWhMK2c9PSIsInZhbHVlIjoiVmpwQnZFWHZHZDd6NEppejRWdC9MZnJteGtERzY3TGlyL2IveTJZM080aG5Ea0JDY0RQWUQ5Qyt5d3FVWVI3WlRSblBsMm1yYWZYamtHNktpQTNFam0rUWZWTk5MZEN5TURlenF0SDhGV0Z3b3pEOHAySUFJaGxXb0VHWDd4eTciLCJtYWMiOiIyYmQ0MGMyOWVmNWQ3NWNmOTI0NjdlYjI4OTcwODJiM2ZlMTNlMmQ5MzE3ZGI1NWU2ZmJiZDIxMGNjOTYwOTRmIiwidGFnIjoiIn0%3D; satt_academy_session=eyJpdiI6IlpwbldDKzdCVGs1YlJaUWJTcHNnOVE9PSIsInZhbHVlIjoiclNFaFBRS3p5Qi96VlZnbjFHZ3lDZlhLUFZJaFIxSWJ5VlFYOXhYRHkwZkxPTWVrZ01oSVhad2tZc3BwemdjS1pCQ3A3NVp5RnRMTllRV2dQUG1XeE9RMFd5MXNVWVNOZm9teEREa1U4VVBDSDhVK3dRUkFYNm1EL0Y4OGRKWTIiLCJtYWMiOiIyZjRmNTE4MmY1NmIyODk0OTBlOTRlNjgyY2VlNmRkMzU3Yzk0YmU0YzExYzk5ZGE5NTU3NzQ2ZjAwNzI3MTFjIiwidGFnIjoiIn0%3DXSRF-TOKEN=eyJpdiI6ImRQOGIyeSttNi8wRWF4aDc4ZWhMK2c9PSIsInZhbHVlIjoiVmpwQnZFWHZHZDd6NEppejRWdC9MZnJteGtERzY3TGlyL2IveTJZM080aG5Ea0JDY0RQWUQ5Qyt5d3FVWVI3WlRSblBsM" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "x-real-ip" => array:1 [ 0 => "13.59.85.64" ] "x-forwarded-server" => array:1 [ 0 => "debugerror.xyz" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-port" => array:1 [ 0 => "443" ] "x-forwarded-host" => array:1 [ 0 => "debugerror.xyz" ] "x-forwarded-for" => array:1 [ 0 => "13.59.85.64" ] "host" => array:1 [ 0 => "debugerror.xyz" ] ]
          request_cookies
          0 of 0
          array:2 [ "XSRF-TOKEN" => "G5hYjkJ7qDkkHZQqWpiVWiv1LbSs2rpihSjhpaNH" "satt_academy_session" => "PKsE9LM8wNCt2ClrYHXwH2rcMu8Q7texUogntkRH" ]
          response_headers
          0 of 0
          array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Fri, 14 Mar 2025 18:36:11 GMT" ] "x-ratelimit-limit" => array:1 [ 0 => "60" ] "x-ratelimit-remaining" => array:1 [ 0 => "3" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Ill6MkFEUkZQbisxa0tyN3VPVVllNmc9PSIsInZhbHVlIjoieDZmSnh3RldnSnBUd2hGNEhqa3BiRHBzcTcwVytXRWt0NGkxN0wxRnNNT0NjVFFzalp0Z0FzUzYwSnVWSHJlZkk0b2lhckpQbTVXKzQwNVJCL0ZqYStBWXN3QnhWclFSYmg0cjlZTkRsKyswV2phU1MvS3J5RXc0Z1lUN1krK04iLCJtYWMiOiJiMzhmZGU1MmZhODJjYjM3NTcxMGZkOWZjMDNmNWQ5YWQ4YmI2MmVlZTU4ZjUwYzA3ZGRhNGJjZTYwNGU1ODExIiwidGFnIjoiIn0%3D; expires=Sat, 15 Mar 2025 18:36:11 GMT; Max-Age=86400; path=/; secureXSRF-TOKEN=eyJpdiI6Ill6MkFEUkZQbisxa0tyN3VPVVllNmc9PSIsInZhbHVlIjoieDZmSnh3RldnSnBUd2hGNEhqa3BiRHBzcTcwVytXRWt0NGkxN0wxRnNNT0NjVFFzalp0Z0FzUzYwSnVWSHJlZkk0b2lhc" 1 => "satt_academy_session=eyJpdiI6Ik5XRnVVT2tVVll2dE1IeWtLQUE3UWc9PSIsInZhbHVlIjoid2JlOHFpbWJqZi92Q0NhdG05WGJSVVZqZElXTzFZRkFzYnRmNFFybEFmMXZndjBQSzhndzA3aW41dXplTVo3T3lBWWNrUUtXMUpwTEZlSWhWWWZEUVAxbUNJdXNhZDlpbWFmcEVhdStlRWFoQVh6bzdaWW5LVzcwZkd1T0NEMU4iLCJtYWMiOiI4NDhiMzk3MTdmZWVhOGNiN2NhMTc2OTUwMDE3Y2Y0NTQ5MmIyNzkxNzkwYTcxNmUyZDNkZDAwODgzMzE5ZDRkIiwidGFnIjoiIn0%3D; expires=Sat, 15 Mar 2025 18:36:11 GMT; Max-Age=86400; path=/; secure; httponlysatt_academy_session=eyJpdiI6Ik5XRnVVT2tVVll2dE1IeWtLQUE3UWc9PSIsInZhbHVlIjoid2JlOHFpbWJqZi92Q0NhdG05WGJSVVZqZElXTzFZRkFzYnRmNFFybEFmMXZndjBQSzhndzA3aW41dXplTVo" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Ill6MkFEUkZQbisxa0tyN3VPVVllNmc9PSIsInZhbHVlIjoieDZmSnh3RldnSnBUd2hGNEhqa3BiRHBzcTcwVytXRWt0NGkxN0wxRnNNT0NjVFFzalp0Z0FzUzYwSnVWSHJlZkk0b2lhckpQbTVXKzQwNVJCL0ZqYStBWXN3QnhWclFSYmg0cjlZTkRsKyswV2phU1MvS3J5RXc0Z1lUN1krK04iLCJtYWMiOiJiMzhmZGU1MmZhODJjYjM3NTcxMGZkOWZjMDNmNWQ5YWQ4YmI2MmVlZTU4ZjUwYzA3ZGRhNGJjZTYwNGU1ODExIiwidGFnIjoiIn0%3D; expires=Sat, 15-Mar-2025 18:36:11 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6Ill6MkFEUkZQbisxa0tyN3VPVVllNmc9PSIsInZhbHVlIjoieDZmSnh3RldnSnBUd2hGNEhqa3BiRHBzcTcwVytXRWt0NGkxN0wxRnNNT0NjVFFzalp0Z0FzUzYwSnVWSHJlZkk0b2lhc" 1 => "satt_academy_session=eyJpdiI6Ik5XRnVVT2tVVll2dE1IeWtLQUE3UWc9PSIsInZhbHVlIjoid2JlOHFpbWJqZi92Q0NhdG05WGJSVVZqZElXTzFZRkFzYnRmNFFybEFmMXZndjBQSzhndzA3aW41dXplTVo3T3lBWWNrUUtXMUpwTEZlSWhWWWZEUVAxbUNJdXNhZDlpbWFmcEVhdStlRWFoQVh6bzdaWW5LVzcwZkd1T0NEMU4iLCJtYWMiOiI4NDhiMzk3MTdmZWVhOGNiN2NhMTc2OTUwMDE3Y2Y0NTQ5MmIyNzkxNzkwYTcxNmUyZDNkZDAwODgzMzE5ZDRkIiwidGFnIjoiIn0%3D; expires=Sat, 15-Mar-2025 18:36:11 GMT; path=/; secure; httponlysatt_academy_session=eyJpdiI6Ik5XRnVVT2tVVll2dE1IeWtLQUE3UWc9PSIsInZhbHVlIjoid2JlOHFpbWJqZi92Q0NhdG05WGJSVVZqZElXTzFZRkFzYnRmNFFybEFmMXZndjBQSzhndzA3aW41dXplTVo" ] ]
          session_attributes
          0 of 0
          array:3 [ "_token" => "G5hYjkJ7qDkkHZQqWpiVWiv1LbSs2rpihSjhpaNH" "_previous" => array:1 [ "url" => "https://debugerror.xyz/job-solution/%E0%A6%89%E0%A7%8E%E0%A6%AA%E0%A6%BE%E0%A6%A6%E0%A6%95%E0%A7%87-%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%8D%E0%A6%B2%E0%A7%87%E0%A6%B7%E0%A6%A3https://debugerror.xyz/job-solution/%E0%A6%89%E0%A7%8E%E0%A6%AA%E0%A6%BE%E0%A6%A6%E0%A6%95%E0%A7%87-%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%8D%E0%A6%B2%E0%A7%87%E0%A6" ] "_flash" => array:2 [ "old" => [] "new" => [] ] ]
          ClearShow all
          Date ↕MethodURLData
          #12025-03-15 00:36:11GET/job-solution/%E0%A6%89%E0%A7%8E%E0%A6%AA%E0%A6%BE%E0%A6%A6%E0%A6%95%E0%A7%87-%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%8D%E0%A6%B2%E0%A7%87%E0%A6%B7%E0%A6%A34859