document.write( "Question 1060088: The 11th term in the expansion of (x+2y)^14 \n" ); document.write( "
Algebra.Com's Answer #675085 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "If we count the first term as the k=0th term, then the\r\n" );
document.write( "kth term of (A+B)n is (nCk)An-kBk\r\n" );
document.write( "\r\n" );
document.write( "The 11th term of the expansion of (x+2y)14 is\r\n" );
document.write( "the k=10th term if we count the first term as the 0th term.\r\n" );
document.write( "\r\n" );
document.write( "So we substitute k=10, A=x, B=2y, n=14.\r\n" );
document.write( "\r\n" );
document.write( "(nCk)An-kBk \r\n" );
document.write( "\r\n" );
document.write( "(14C10)x14-10(2y)10\r\n" );
document.write( "\r\n" );
document.write( "1001x4(2y)10\r\n" );
document.write( "\r\n" );
document.write( "1001x4210y10\r\n" );
document.write( "\r\n" );
document.write( "1001x41024y10\r\n" );
document.write( "\r\n" );
document.write( "1025024x4y10\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );