document.write( "Question 844870: The eighth term of the expansion (2c+d)^7\r
\n" ); document.write( "\n" ); document.write( "The first term of the expansion of (3q-7r)^6\r
\n" ); document.write( "\n" ); document.write( "The second term of the expansion of (a+3b)^10
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #508996 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
The formula for the kth term of \r\n" );
document.write( "\r\n" );
document.write( "(A + B)N  is\r\n" );
document.write( "\r\n" );
document.write( "C(N,k-1)AN-k+1Bk-1\r\n" );
document.write( "\r\n" );
document.write( "The eighth term of the expansion (2c+d)^7 \r\n" );
document.write( "\r\n" );
document.write( "So substitute A = 2c, B = d, k = 8, N = 7\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "C(N,k-1)AN-k+1Bk-1\r\n" );
document.write( "C(7,8-1)(2c)7-8+1d8-1\r\n" );
document.write( "C(7,7)(2c)0d7\r\n" );
document.write( "(1)(1)d7\r\n" );
document.write( "d7\r\n" );
document.write( "\r\n" );
document.write( "The first term of the expansion of (3q-7r)^6\r\n" );
document.write( "\r\n" );
document.write( "So substitute A = 3q, B = -7r, k = 1, N = 6\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "C(N,k-1)AN-k+1Bk-1\r\n" );
document.write( "C(6,1-1)(3q)6-1+1(-7r)1-1\r\n" );
document.write( "C(6,0)(3q)6(-7r)0\r\n" );
document.write( "(1)(3q)6(1)\r\n" );
document.write( "(3q)6\r\n" );
document.write( "36q6\r\n" );
document.write( "729q6\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );