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)\"\" \"About 
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\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 \"%28x%29%5E6%2A%282y%29%5E4\".

\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

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