[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-366086-105":59,"doc-detail-366086-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","lesson-guide-factoring-the-difference-of-two-squares","Lesson Guide - Factoring the Difference of Two Squares","","Lesson Guide for a K-12 math video lesson on factoring the difference of two squares. It outlines key questions about identifying and factoring binomials that are perfect squares separated by a minus sign. The guide explains the strategy and includes rule and proof sections, worked examples, and a student practice activity where learners label each binomial as a difference of two squares and, when possible, write its factors. An answer key supports checking results.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/lesson-guide-factoring-the-difference-of-two-squares/366086/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/lesson-guide-factoring-the-difference-of-two-squares/366086.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is a difference of two squares?","Question",{"text":112,"@type":113},"A difference of two squares is a binomial where both terms are perfect squares and the sign between them is a minus sign.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you factor the difference of two squares?",{"text":117,"@type":113},"Rewrite the perfect-square terms as squares, then factor using the structure (a+b)(a-b) based on the square roots of the terms.",{"name":119,"@type":110,"acceptedAnswer":120},"How can students check their answers in the practice section?",{"text":121,"@type":113},"Use the provided answer key, which lists which problems are differences of two squares and the correct factored forms for those that are.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},366086,1790450528,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144,"preview_page_count":4},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name:    \nLesson Guide  \nThis lesson guide accompanies the following video lesson:  \nFactoring the Difference of Two Squares  \nKey Questions  \n• What is the difference of two squares?  \n• How can you factor the difference of two squares?  \nFactoring the Difference of Two Squares  \n*This strategy only works for factoring binomials where both terms are perfect squares and the sign between them is   .  \nRule:  \nProof:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 1  \nExample \\#1: Factor  \n* 􀀡 ! − 49 is a difference of two squares because both   and   are PERFECT SQUARES and the sign between them is    \nCheck:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 2  \nExample \\#2: Factor  \n* 􀀡 ! − 49 is a difference of two squares because both   and   are PERFECT SQUARES and the sign between them is    \nCheck:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 3  \nTry On Your Own!  \nIdentify whether or not each of the following binomials is a difference of two squares by writing yes or no. If yes, find the factors.  \n1) (􀀡 􀀡 − 􀀡􀀢) 2) (􀀡 􀀡 + 􀀡􀀢) 3) (􀀡 􀀡 − 􀀡􀀡􀀡)  \n4) (􀀡􀀢􀀡􀀡 − 􀀡􀀢) 5) (􀀡 􀀡 − 􀀡􀀡􀀢) 6) (􀀡􀀢􀀡􀀡 + 􀀡􀀢)  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 4  \nANSWER KEY  \nExample \\#1 : (􀀡 + 7)(􀀡 − 7)  \nExample \\#2: (3􀀡 ! + 10): (3􀀡 ! − 10)  \nTry On Your Own!:  \n1.) YES (􀀡 + 4)(􀀡 − 4)  \n2. ) NO  \n3.) YES (􀀡 + 10)(􀀡 − 10)  \n4.) YES (5􀀡 + 5)(5􀀡 − 5)  \n5. ) NO  \n6. ) NO  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 5","cbCaiv7XbgH4ti2k","https://ap.wps.com/l/cbCaiv7XbgH4ti2k","pdf",1340623,"English","# Key Questions\n# Strategy and Rule\n# Proof\n# Examples\n## Example #1\n## Example #2\n# Try On Your Own\n# Answer Key","[{\"question\":\"What is a difference of two squares?\",\"answer\":\"A difference of two squares is a binomial where both terms are perfect squares and the sign between them is a minus sign.\"},{\"question\":\"How do you factor the difference of two squares?\",\"answer\":\"Rewrite the perfect-square terms as squares, then factor using the structure (a+b)(a-b) based on the square roots of the terms.\"},{\"question\":\"How can students check their answers in the practice section?\",\"answer\":\"Use the provided answer key, which lists which problems are differences of two squares and the correct factored forms for those that are.\"}]","Lesson Guide - Factoring the Difference of Two Squares | PDF",1790163782,13]