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Students factor each problem completely, then verify factored forms such as (x+5)(x^2-5x+25) and similar cubic expansions. Covers multiple variable cases (x, a, u, m, n, y, b) and includes both positive and negative cube differences plus simplified polynomial factors for full solutions.",{"@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/factoring-a-sum-difference-of-cubes-practice-worksheet/522645/",{"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/factoring-a-sum-difference-of-cubes-practice-worksheet/522645.png","ImageObject",300,407,{"name":92,"@type":93},"Valentina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",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 skill does this worksheet practice?","Question",{"text":112,"@type":113},"It practices factoring expressions completely using the sum/difference of cubes pattern.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do the problems use only x, or are other variables included?",{"text":117,"@type":113},"The worksheet includes other variables such as a, u, m, n, y, and b.",{"name":119,"@type":110,"acceptedAnswer":120},"How should answers be presented?",{"text":121,"@type":113},"Each expression should be factored completely into its multiplicative polynomial factors.","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},522645,1791489061,{"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":19,"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":52,"preview_page_count":4},13056703020460,"https://ap-avatar.wpscdn.com/avatar/be000253dac470eee5d?_k=1778207105932848923","Kuta Software-Infinite Algebra 2 Name___________________________________  \nFactoring A Sum/Difference of Cubes Date________________ Period____  \nFactor each completely.  \n1) x 3 + 125 2) a 3 + 64  \n3) x 3 − 64 4) u 3 + 8  \n5) x 3 − 27 6) 125 − x 3  \n7) 1 − a 3 8) a 3 + 125  \n9) x 3 + 27 10) x 3 + 1  \n11) 8x3 + 27 12) −27u3 + 125  \n13) −a3 − 8 14) 250x4 + 128x  \n15) 648a + 1029a4 16) 8a3 + 125  \n17) 64x3 + 1 18) 8x4 + x  \n19) 343m3 + 64n3 20) m 3 + 8n3  \n21) a 3 + 343b3 22) x 3 − 216 y3  \n23) 1029 yx3 + 24 y4 24) m 3 + 64n3  \nKuta Software-Infinite Algebra 2  \nFactoring A Sum/Difference of Cubes  \nFactor each completely.  \n1) x 3 + 125  \n(x + 5)(x2 − 5x + 25)  \nName___________________________________  \nDate________________ Period____  \n2) a 3 + 64  \n(a + 4)(a2 − 4a + 16)  \n3) x 3 − 64 4) u 3 + 8  \n(x − 4)(x2 + 4x + 16) (u + 2)(u2 − 2u + 4)  \n5) x 3 − 27 6) 125 − x 3  \n(x − 3)(x2 + 3x + 9) (5 − x)(25 + 5x + x2 )  \n7) 1 − a 3 8) a 3 + 125  \n( 1 − a)(1 + a + a2 ) (a + 5)(a2 − 5a + 25)  \n9) x 3 + 27 10) x 3 + 1  \n(x + 3)(x2 − 3x + 9) (x + 1)(x2 − x + 1)  \n11) 8x3 + 27 12) −27u3 + 125  \n(2x + 3)(4x2 − 6x + 9) (−3u + 5)(9u2 + 15u + 25)  \n13) −a3 − 8 14) 250x4 + 128x  \n(−a − 2)(a2 − 2a + 4) 2x(5x + 4)(25x2 − 20x + 16)  \n15) 648a + 1029a4 16) 8a3 + 125  \n3a(6 + 7a)(36 − 42a + 49a2 ) (2a + 5)(4a2 − 10a + 25)  \n17) 64x3 + 1 18) 8x4 + x  \n(4x + 1)( 16x2 − 4x + 1) x(2x + 1)(4x2 − 2x + 1)  \n19) 343m3 + 64n3 20) m 3 + 8n3  \n(7m + 4n)(49m2 − 28mn + 16n2 ) (m + 2n)(m2 − 2mn + 4n2 )  \n21) a 3 + 343b3 22) x 3 − 216 y3  \n(a + 7b)(a2 − 7ab + 49b2 ) (x − 6 y)(x2 + 6xy + 36 y2 )  \n23) 1029 yx3 + 24 y4 24) m 3 + 64n3  \n3 y(7x + 2 y)(49x2 − 14xy + 4 y2 ) (m + 4n)(m2 − 4mn + 16n2 )  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaihGKbJe5CzCD","https://ap.wps.com/l/cbCaihGKbJe5CzCD","pdf",32325,"English","# Factor each completely\n## Cube sums and differences","[{\"question\":\"What skill does this worksheet practice?\",\"answer\":\"It practices factoring expressions completely using the sum/difference of cubes pattern.\"},{\"question\":\"Do the problems use only x, or are other variables included?\",\"answer\":\"The worksheet includes other variables such as a, u, m, n, y, and b.\"},{\"question\":\"How should answers be presented?\",\"answer\":\"Each expression should be factored completely into its multiplicative polynomial factors.\"}]","Factoring A Sum - Difference of Cubes - Practice Worksheet | PDF",1791426013]