document.write( "Question 1179418: Find the coefficient a of the given term in the expansion of the binomial.\r
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Algebra.Com's Answer #808970 by ikleyn(52794)\"\" \"About 
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\n" ); document.write( "Find the coefficient a of the given term in the expansion of the binomial.
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document.write( "They want you determine the term with x^3,  ax^3,  in the binomial expansion\r\n" );
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document.write( "    \"%28x%2B9%29%5E12\" = \"sum%28C%5B12%5D%5Ek%2Ax%5E%2812-k%29%2A9%5Ek%2C+k=0%2C12%29\".\r\n" );
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document.write( "The term with x^3  is   \"C%5B12%5D%5E9%2Ax%5E3%2A9%5E9\" = \"%28%2812%2A11%2A10%29%2F%281%2A2%2A3%29%29%2A9%5E9%2Ax%5E3\" = \"85232507580%2Ax%5E3\",\r\n" );
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document.write( "so the coefficient \"a\" under the problem's question is  85232507580.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion\r
\n" ); document.write( "\n" ); document.write( "    - Remarkable identities for Binomial Coefficients\r
\n" ); document.write( "\n" ); document.write( "    - The Pascal's triangle \r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on binomial coefficients \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic
\n" ); document.write( "\"Binomial expansion, binomial coefficients, Pascal's triangle\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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