{"article_info":{"article_id":140611,"cat_id":1439,"cat_title":"SGK Toán 8 - Cùng khám phá","publish_time":1686105360,"cat_id2":1439,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0607/resize_1-0_11.png","title":"Giải bài 1.56 trang 31 SGK Toán 8 - Cùng khám phá","label":"Giải bài 1.56 trang 31","alias":"giai-bai-156-trang-31-sgk-toan-8-cung-kham-pha","introtext":"Phân tích các đa thức sau thành nhân tử: \r\n","content":"<style>\r\n.method-close-icon{position: relative;float: right;top: 6px;transform: rotate(270deg);-ms-transform:rotate(270deg);-moz-transform:rotate(270deg);-webkit-transform:rotate(270deg);-o-transform:rotate(270deg);}\r\n.method-open-icon{position: relative;float: right;top: 6px;}\r\n</style>\r\n<p><strong style=\"font-size: 16px;\">Đề bài</strong></p><p>Phân tích các đa thức sau thành nhân tử:</p>\r\n<p>a)     \\(2xy + yz - 8x - 4z\\)</p>\r\n<p>b)    \\(4{x^2} + 4x - 49{y^2} + 1\\)</p>\r\n<p>c)     \\(9{x^2}{y^4} - 6x{y^3} + {y^2}\\)</p>\r\n<p>d)    \\({x^3} + x - 8{y^3} - 2y\\)</p><div id=\"pos_end_question\"></div><div style=\"padding-top: 10px;padding-bottom: 2px;margin-bottom: 10px;\"><p class=\"show-detail-method\" style=\"background: #654bc2;text-align: center;border-radius:5px;padding: 10px;margin-bottom: 0px;\" onclick=\"showDetailMethod();\"><strong style=\"font-size: 16px;\">Phương pháp giải - Xem chi tiết</strong><img class=\"method-open-icon\" id=\"method_colapse_icon\" src=\"data:image/png;base64,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\"></p>  <div class=\"content_method_content\" style=\"padding: 10px 10px 5px 10px;border: dashed 1px #654bc2;border-top:none;\"><p>Phân tích các đa thức thành nhân tử bằng các phương pháp đã học.</p>  </div>\r\n<script type=\"text/javascript\">\r\n    var is_open =true;\r\n    function showDetailMethod(){\r\n        if(is_open){\r\n            document.querySelector(\".content_method_content\").style.display='none';\r\n            document.getElementById(\"method_colapse_icon\").classList.remove(\"method-open-icon\");\r\n            document.getElementById(\"method_colapse_icon\").classList.add(\"method-close-icon\");\r\n        }else{\r\n            document.querySelector(\".content_method_content\").style.display='block';\r\n            document.getElementById(\"method_colapse_icon\").classList.remove(\"method-close-icon\");\r\n            document.getElementById(\"method_colapse_icon\").classList.add(\"method-open-icon\");\r\n        }\r\n        is_open = !is_open;\r\n    }\r\n</script>\r\n</div><p><strong style=\"font-size: 16px;\">Lời giải chi tiết</strong></p><p>a)     Ta có:</p>\r\n<p>\\(\\begin{array}{l}2xy + yz - 8x - 4z\\\\ = \\left( {2xy - 8x} \\right) + \\left( {yz - 4z} \\right)\\\\ = 2x\\left( {y - 4} \\right) + z\\left( {y - 4} \\right)\\\\ = \\left( {2x + z} \\right)\\left( {y - 4} \\right)\\end{array}\\)</p>\r\n<p>b)    Ta có:</p>\r\n<p>\\(\\begin{array}{l}4{x^2} + 4x - 49{y^2} + 1\\\\ = \\left( {4{x^2} + 4x + 1} \\right) - 49{y^2}\\\\ = {\\left( {2x + 1} \\right)^2} - 49{y^2}\\\\ = \\left( {2x + 1 + 7y} \\right).\\left( {2x + 1 - 7y} \\right)\\end{array}\\)</p>\r\n<p>c)     Ta có:</p>\r\n<p>\\(\\begin{array}{l}9{x^2}{y^4} - 6x{y^3} + {y^2}\\\\ = {y^2}\\left( {9{x^2}{y^2} - 6xy + 1} \\right)\\end{array}\\)</p>\r\n<p>d)    Ta có:</p>\r\n<p>\\(\\begin{array}{l}{x^3} + x - 8{y^3} - 2y\\\\ = \\left( {{x^3} - 8{y^3}} \\right) + \\left( {x - 2y} \\right)\\\\ = \\left( {x - 2y} \\right)\\left( {{x^2} + 2xy + 4{y^2}} \\right) + \\left( {x - 2y} \\right)\\\\ = \\left( {x - 2y} \\right)\\left( {{x^2} + 2xy + 4{y^2} + 1} \\right)\\end{array}\\)</p>","common_article":"","display_type":1,"vungoi_exam_id":"","article_type":1,"cmt_count":0,"zip_status":1,"last_modified_time":1686105481,"last_zip_time":1686105481,"zip_link":"https://offline.loigiaihay.com/articles/1439/140611/140611_1686105481.zip","picture":"https://img.loigiaihay.com/picture/article/2023/0607/1-0_11.png","youtube_id":"","video_start_time":"0","quizlet_id":"0","ref_article_id":0,"readmore_display_type":0,"wiki":0,"comment_url":"https://loigiaihay.com/comment/giai-bai-156-trang-31-sgk-toan-8-cung-kham-pha-c1439a140611.html","origin_url":"https://loigiaihay.com/giai-bai-156-trang-31-sgk-toan-8-cung-kham-pha-c1439a140611.html","relate_link":[],"exam_file":"","solution_file":""},"callouts":[],"relate_articles":[],"others_in_cat":[{"article_id":140323,"cat_id":1439,"publish_time":1685781480,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0603/resize_1-0_15.png","title":"Lý thuyết Phân thức đại số SGK Toán 8 - 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