{"article_info":{"article_id":144952,"cat_id":1543,"cat_title":"Vở thực hành Toán 8","publish_time":1690863540,"cat_id2":1543,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0801/resize_1-0_21.png","title":"Giải bài 6 trang 18 vở thực hành Toán 8","label":"Bài 6 trang 18 ","alias":"giai-bai-6-trang-18-vo-thuc-hanh-toan-8","introtext":"Chứng minh đẳng thức sau:","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>Chứng minh đẳng thức sau:</p>\r\n<p><span class=\"MTConvertedEquation\">\\(\\left( {2x + y} \\right)\\left( {2{x^2}\\; + xy-{y^2}} \\right) = \\left( {2x-y} \\right)\\left( {2{x^2}\\; + 3xy + {y^2}} \\right)\\)</span>.</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>Sử dụng quy tắc nhân hai đa thức: Muốn nhân một đa thức với một đa thức, ta nhân mỗi hạng tử của đa thức này với từng hạng tử của đa thức kia rồi cộng các tích với nhau.</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>Vế trái:</p>\r\n<p><span class=\"MTConvertedEquation\">\\(\\begin{array}{l}\\left( {2x + y} \\right)\\left( {2{x^2}\\; + xy-{y^2}} \\right)\\\\ = \\left( {4{x^3}\\; + 2{x^2}y-2x{y^2}\\;} \\right) + \\left( {2{x^2}y + x{y^2}\\;-{y^3}} \\right)\\\\ = 4{x^3}\\; + 4{x^2}y-x{y^2}\\;-{y^3}.\\end{array}\\)</span></p>\r\n<p>Vế phải:</p>\r\n<p><span class=\"MTConvertedEquation\">\\(\\begin{array}{l}\\left( {2x-y} \\right)\\left( {2{x^2}\\; + 3xy + {y^2}} \\right)\\\\ = \\left( {4{x^3}\\; + 6{x^2}y + 2x{y^{2\\;}}} \\right)-\\left( {2{x^2}y + 3x{y^2}\\; + {y^3}} \\right)\\\\ = 4{x^3}\\; + \\left( {6{x^2}y-2{x^2}y} \\right) + \\left( {2x{y^{2\\;}}-3x{y^2}} \\right)-{y^3}\\\\ = 4{x^3}\\; + 4{x^2}y-x{y^2}\\;-{y^3}.\\end{array}\\)</span></p>\r\n<p>So sánh hai kết quả, ta có điều phải chứng minh.</p>","common_article":"","display_type":1,"vungoi_exam_id":"","article_type":1,"cmt_count":0,"zip_status":1,"last_modified_time":1690863644,"last_zip_time":1690863644,"zip_link":"https://offline.loigiaihay.com/articles/1543/144952/144952_1690863644.zip","picture":"https://img.loigiaihay.com/picture/article/2023/0801/1-0_21.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-6-trang-18-vo-thuc-hanh-toan-8-c1543a144952.html","origin_url":"https://loigiaihay.com/giai-bai-6-trang-18-vo-thuc-hanh-toan-8-c1543a144952.html","relate_link":[],"exam_file":"","solution_file":""},"callouts":[],"relate_articles":[],"others_in_cat":[{"article_id":144954,"cat_id":1543,"publish_time":1690863600,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0801/resize_1-0_22.png","title":"Giải bài 7 trang 18 vở thực hành Toán 8","alias":"giai-bai-7-trang-18-vo-thuc-hanh-toan-8","introtext":"Chứng minh rằng nếu m và n nhận các giá trị nguyên tùy ý thì biểu thức","display_type":1,"article_type":1},{"article_id":144951,"cat_id":1543,"publish_time":1690863420,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0801/resize_1-0_20.png","title":"Giải bài 5 trang 18 vở thực hành Toán 8","alias":"giai-bai-5-trang-18-vo-thuc-hanh-toan-8","introtext":"Rút gọn biểu thức sau đây để thấy ","display_type":1,"article_type":1},{"article_id":144949,"cat_id":1543,"publish_time":1690863300,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0801/resize_1-0_19.png","title":"Giải bài 4 trang 18 vở thực hành Toán 8","alias":"giai-bai-4-trang-18-vo-thuc-hanh-toan-8","introtext":"Làm tính nhân:","display_type":1,"article_type":1},{"article_id":144948,"cat_id":1543,"publish_time":1690863180,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0801/resize_1-0_18.png","title":"Giải bài 3 trang 17 vở thực hành Toán 8","alias":"giai-bai-3-trang-17-vo-thuc-hanh-toan-8","introtext":"Rút gọn biểu thức: \\(x\\left( {{x^2}\\;-y} \\right)-{x^2}\\left( {x + y} \\right) + xy\\left( {x-1} \\right)\\).","display_type":1,"article_type":1},{"article_id":144947,"cat_id":1543,"publish_time":1690863060,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0801/resize_1-0_17.png","title":"Giải bài 2 trang 17 vở thực hành Toán 8","alias":"giai-bai-2-trang-17-vo-thuc-hanh-toan-8","introtext":"Tìm tích của đơn thức với đa thức:","display_type":1,"article_type":1},{"article_id":144944,"cat_id":1543,"publish_time":1690862760,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0801/resize_1-0_16.png","title":"Giải bài 1 trang 17 vở thực hành Toán 8","alias":"giai-bai-1-trang-17-vo-thuc-hanh-toan-8","introtext":"Nhân hai đơn thức:","display_type":1,"article_type":1},{"article_id":144943,"cat_id":1543,"publish_time":1690862580,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0801/resize_1-0_15.png","title":"Giải câu hỏi trắc nghiệm trang 17 vở thực hành Toán 8","alias":"giai-cau-hoi-trac-nghiem-trang-17-vo-thuc-hanh-toan-8","introtext":"Chọn phương án đúng trong mỗi câu sau:","display_type":2,"article_type":1}],"event_info":{"title":"Bài 4. 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