{"id":1893,"date":"2021-12-02T19:39:51","date_gmt":"2021-12-03T00:39:51","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-6-9\/"},"modified":"2022-11-02T10:38:11","modified_gmt":"2022-11-02T14:38:11","slug":"answer-key-6-9","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-6-9\/","title":{"raw":"Answer Key 6.9","rendered":"Answer Key 6.9"},"content":{"raw":"Problem: Use Pascal's triangle to expand the binomial [latex](a+b)^{12}.[\/latex]\n\n[latex]\\begin{array}{rc}\n\\text{Row 10}& 1+10+44+120+210+252+210+120+44+10+1 \\\\\n\\text{Row 11}& 1+11+54+164+ 330+462+462+330+164+54+11+1 \\\\\n\\text{Row 12}& 1+12+65+218+494+792+924+792+494+218+65+12+1\n\\end{array}[\/latex]\n\n[latex]\\text{Equation: }[\/latex]\n\n[latex]\\begin{array}{l}\na^{12}+12a^{11}b+65a^{10}b^2+218a^9b^3+494a^8b^4+792a^7b^5+924a^6b^6+792a^5b^7+494a^4b^8+218a^3b^9+65a^2b^{10}+12ab^{11}+b^{12}\n\\end{array}[\/latex]","rendered":"

Problem: Use Pascal’s triangle to expand the binomial [latex](a+b)^{12}.[\/latex]<\/p>\n

[latex]\\begin{array}{rc} \\text{Row 10}& 1+10+44+120+210+252+210+120+44+10+1 \\\\ \\text{Row 11}& 1+11+54+164+ 330+462+462+330+164+54+11+1 \\\\ \\text{Row 12}& 1+12+65+218+494+792+924+792+494+218+65+12+1 \\end{array}[\/latex]<\/p>\n

[latex]\\text{Equation: }[\/latex]<\/p>\n

[latex]\\begin{array}{l} a^{12}+12a^{11}b+65a^{10}b^2+218a^9b^3+494a^8b^4+792a^7b^5+924a^6b^6+792a^5b^7+494a^4b^8+218a^3b^9+65a^2b^{10}+12ab^{11}+b^{12} \\end{array}[\/latex]<\/p>\n","protected":false},"author":90,"menu_order":57,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1893","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1893","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1893\/revisions"}],"predecessor-version":[{"id":1894,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1893\/revisions\/1894"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1893\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1893"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1893"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1893"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1893"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}