document.write( "Question 1148573: What is the term containing x6 in the expansion of (x+2y)10.\r
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Algebra.Com's Answer #769907 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Note: It is customary to use \"^\" (shift-6) to represent exponentiation. So \n" ); document.write( "\"What is the term containing x^6 in the expansion of (x+2y)^10\" \n" ); document.write( "instead of \n" ); document.write( "\"What is the term containing x6 in the expansion of (x+2y)10\" \n" ); document.write( "In the expansion, there are 10 identical factors of (x+2y). \n" ); document.write( "To get a term containing x^6, you need to choose the \"x\" from 6 of the factors and the \"2y\" from the other 4 factors. \n" ); document.write( "Each time you do that, the partial product is \n" ); document.write( "The number of ways you can choose 6 of the 10 factors to contain \"x\" is \"10 choose 6\". \n" ); document.write( "So the term containing x^6 in the expansion of (x+2y)^10 is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |