{"id":1475,"date":"2019-06-25T15:11:51","date_gmt":"2019-06-25T19:11:51","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&#038;p=1475"},"modified":"2019-06-25T15:22:22","modified_gmt":"2019-06-25T19:22:22","slug":"answer-key-6-9","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-6-9\/","title":{"raw":"Answer Key 6.9","rendered":"Answer Key 6.9"},"content":{"raw":"[latexpage]\r\n\r\nProblem: Use Pascal's triangle to expand the binomial \\((a+b)^{12}.\\)\r\n\r\n\\(\\begin{array}{rc}\r\n\\text{Row 10}&amp; 1+10+44+120+210+252+210+120+44+10+1 \\\\\r\n\\text{Row 11}&amp; 1+11+54+164+ 330+462+462+330+164+54+11+1 \\\\\r\n\\text{Row 12}&amp; 1+12+65+218+494+792+924+792+494+218+65+12+1\r\n\\end{array}\\)\r\n\r\n\\(\\text{Equation: }\\)\r\n\r\n\\(\\begin{array}{l}\r\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}\r\n\\end{array}\\)","rendered":"<p>Problem: Use Pascal&#8217;s triangle to expand the binomial <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-d8adeefc908cfeecca66a057e22503ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#43;&#98;&#41;&#94;&#123;&#49;&#50;&#125;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -4px;\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-29e3747d8426307f0570f33b32b31b12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#114;&#99;&#125; 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