[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523565-105":59,"doc-detail-523565-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","the-binomial-theorem-worksheet","The Binomial Theorem - Worksheet","","Worksheets focused on the Binomial Theorem in Infinite Precalculus. Students practice finding specific coefficients from binomial expansions, determining particular terms in expansions (such as the nth, rth, or ordered term), and expanding several binomials completely. Problems cover multiple variables and parameters (e.g., x, y, a, b, m, n, u, v) and require applying the binomial expansion rules to compute coefficients and construct terms accurately.",{"@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/the-binomial-theorem-worksheet/523565/",{"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/the-binomial-theorem-worksheet/523565.png","ImageObject",300,407,{"name":92,"@type":93},"dawugda","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What types of questions appear in this worksheet?","Question",{"text":112,"@type":113},"It includes problems to find specified coefficients, identify particular terms in an expansion, and expand binomials completely using the Binomial Theorem.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you solve a “coefficient of” problem here?",{"text":117,"@type":113},"Determine the term in the binomial expansion that matches the requested power/variables, then use the Binomial Theorem coefficient rule for that term.",{"name":119,"@type":110,"acceptedAnswer":120},"What does “nth term in expansion” mean in these questions?",{"text":121,"@type":113},"It asks for the term in a binomial expansion at a specified position (such as the nth or rth term), requiring you to map the position to the corresponding exponent(s) and coefficient.","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},523565,1791753360,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24,"preview_page_count":4},3985747870947,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Kuta Software-Infinite Precalculus Name   \nThe Binomial Theorem Date  Period   \nFind each coefficient described.  \n1) Coefficient of x􀀕 in expansion of (􀀕 􀀎 x) 􀀘 2) Coefficient of x􀀕 in expansion of (x 􀀎 􀀕)􀀘  \n3) Coefficient of x in expansion of (x 􀀎 􀀖)􀀘 4) Coefficient of b in expansion of (􀀖 􀀎 b) 􀀗  \n5) Coefficient of x􀀖y 􀀕 in expansion of (x 􀀐 􀀖 y) 􀀘 6) Coefficient of a􀀕 in expansion of (􀀕a 􀀎 􀀔)􀀘  \n7) Coefficient of a􀀕 b 􀀕 in expansion of (a 􀀐 b) 􀀗 8) Coefficient of m 􀀖 n 􀀕 in expansion of (m 􀀎 􀀖 n) 􀀘  \nFind each term described.  \n9) 􀀕nd term in expansion of (y 􀀐 􀀕x) 􀀗 10) 􀀗th term in expansion of (􀀗y 􀀎 x) 􀀗  \n11) 􀀕nd term in expansion of (􀀖u 􀀐 􀀔)􀀖 12) 􀀖rd term in expansion of (y 􀀐 􀀗)􀀖  \n13) 􀀔 st term in expansion of (a 􀀎 b) 􀀘 14) 􀀕nd term in expansion of (y 􀀐 x) 􀀗  \nExpand completely.  \n15) (􀀕n 􀀎 􀀔)􀀘 16) (x 􀀎 y) 􀀗  \n17) (􀀕m 􀀐 􀀔)􀀗 18) (x 􀀐 􀀖 y) 􀀘  \n19) (v 􀀐 􀀕)􀀖 20) (x 􀀐 y) 􀀖  \n21) (x 􀀗 􀀐 y) 􀀘 22) (􀀕x 􀀖 􀀎 􀀔)􀀘  \n23) (y 􀀐 x 􀀕 ) 􀀖 24) (y 􀀖 􀀐 􀀗x) 􀀖  \nKuta Software-Infinite Precalculus Name   \nThe Binomial Theorem Date  Period   \nFind each coefficient described.  \n1) Coefficient of x􀀕 in expansion of (􀀕 􀀎 x) 􀀘 2) Coefficient of x􀀕 in expansion of (x 􀀎 􀀕)􀀘  \n􀀛􀀓 􀀛􀀓  \n3) Coefficient of x in expansion of (x 􀀎 􀀖)􀀘 4) Coefficient of b in expansion of (􀀖 􀀎 b) 􀀗  \n􀀗􀀓􀀘 􀀔􀀓􀀛  \n5) Coefficient of x􀀖y 􀀕 in expansion of (x 􀀐 􀀖 y) 􀀘 6) Coefficient of a􀀕 in expansion of (􀀕a 􀀎 􀀔)􀀘  \n􀀜􀀓 􀀗􀀓  \n7) Coefficient of a􀀕 b 􀀕 in expansion of (a 􀀐 b) 􀀗 8) Coefficient of m 􀀖 n 􀀕 in expansion of (m 􀀎 􀀖 n) 􀀘  \n􀀙 􀀜􀀓  \nFind each term described.  \n9) 􀀕nd term in expansion of (y 􀀐 􀀕x) 􀀗 10) 􀀗th term in expansion of (􀀗y 􀀎 x) 􀀗  \n􀀐􀀛 y 􀀖 x 􀀔􀀙yx 􀀖  \n11) 􀀕nd term in expansion of (􀀖u 􀀐 􀀔)􀀖 12) 􀀖rd term in expansion of (y 􀀐 􀀗)􀀖  \n􀀐􀀕􀀚 u 􀀕 􀀗􀀛 y  \n13) 􀀔 st term in expansion of (a 􀀎 b) 􀀘 14) 􀀕nd term in expansion of (y 􀀐 x) 􀀗  \na 􀀘 􀀐􀀗y 􀀖 x  \nExpand completely.  \n15) (􀀕n 􀀎 􀀔)􀀘 16) (x 􀀎 y) 􀀗  \n􀀖􀀕n 􀀘 􀀎 􀀛􀀓n 􀀗 􀀎 􀀛􀀓n 􀀖 􀀎 􀀗􀀓n 􀀕 􀀎 􀀔􀀓n 􀀎 􀀔 x 􀀗 􀀎 􀀗x 􀀖y 􀀎 􀀙x 􀀕y 􀀕 􀀎 􀀗xy 􀀖 􀀎 y 􀀗  \n17) (􀀕m 􀀐 􀀔)􀀗 18) (x 􀀐 􀀖 y) 􀀘  \n􀀔􀀙m 􀀗 􀀐 􀀖􀀕m 􀀖 􀀎 􀀕􀀗m 􀀕 􀀐 􀀛 m 􀀎 􀀔 x 􀀘 􀀐 􀀔􀀘 x 􀀗y 􀀎 􀀜􀀓x 􀀖y 􀀕 􀀐 􀀕􀀚􀀓x 􀀕y 􀀖 􀀎 􀀗􀀓􀀘 xy 􀀗 􀀐 􀀕􀀗􀀖 y 􀀘  \n19) (v 􀀐 􀀕)􀀖 20) (x 􀀐 y) 􀀖  \nv 􀀖 􀀐 􀀙v 􀀕 􀀎 􀀔􀀕 v 􀀐 􀀛 x 􀀖 􀀐 􀀖 x 􀀕y 􀀎 􀀖 xy 􀀕 􀀐 y 􀀖  \n21) (x 􀀗 􀀐 y) 􀀘 22) (􀀕x 􀀖 􀀎 􀀔)􀀘  \nx 􀀕􀀓 􀀐 􀀘x 􀀔􀀙y 􀀎 􀀔􀀓x 􀀔􀀕y 􀀕 􀀐 􀀔􀀓x 􀀛y 􀀖 􀀎 􀀘x􀀗y 􀀗 􀀐 y 􀀘 􀀖􀀕x 􀀔􀀘 􀀎 􀀛􀀓x 􀀔􀀕 􀀎 􀀛􀀓x 􀀜 􀀎 􀀗􀀓x 􀀙 􀀎 􀀔􀀓x 􀀖 􀀎 􀀔  \n23) (y 􀀐 x 􀀕 ) 􀀖 24) (y 􀀖 􀀐 􀀗x) 􀀖  \ny 􀀖 􀀐 􀀖 y 􀀕x 􀀕 􀀎 􀀖 yx 􀀗 􀀐 x 􀀙 y 􀀜 􀀐 􀀔􀀕 y 􀀙x 􀀎 􀀗􀀛 y 􀀖 x 􀀕 􀀐 􀀙􀀗x 􀀖  \n Create your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaifbMNoIVQvhB","https://ap.wps.com/l/cbCaifbMNoIVQvhB","pdf",24608,"English","# Find Each Coefficient\n## Coefficients in binomial expansions\n# Find Each Term\n## nth term and rth term in expansions\n# Expand Completely\n## Complete binomial expansions","[{\"question\":\"What types of questions appear in this worksheet?\",\"answer\":\"It includes problems to find specified coefficients, identify particular terms in an expansion, and expand binomials completely using the Binomial Theorem.\"},{\"question\":\"How do you solve a “coefficient of” problem here?\",\"answer\":\"Determine the term in the binomial expansion that matches the requested power/variables, then use the Binomial Theorem coefficient rule for that term.\"},{\"question\":\"What does “nth term in expansion” mean in these questions?\",\"answer\":\"It asks for the term in a binomial expansion at a specified position (such as the nth or rth term), requiring you to map the position to the corresponding exponent(s) and coefficient.\"}]","The Binomial Theorem - Worksheet | PDF",1791427024]