document.write( "Question 331217: Find the third term in the expansion of (2x-3y)^8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #237418 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Find the third term in the expansion of \"%282x-3y%29%5E8\"
\n" ); document.write( "
\r\n" );
document.write( "The kth term in the expansion of \"%28A%2BB%29%5En\" is given\r\n" );
document.write( "by the formula:\r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%282%2C1%2Cn%2Cr-1%29%29%2AA%5E%28n-r%2B1%29%2AB%5E%28r-1%29\" or sometimes it's written \"C%28n%2Cr-1%29%2AA%5E%28n-r%2B1%29%2AB%5E%28r-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "In your problem,\r\n" );
document.write( "\r\n" );
document.write( "\"A=2x\", \"B=-3y\", \"n=8\", \"r=3\"\r\n" );
document.write( "\r\n" );
document.write( "So we substititute:\r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%282%2C1%2C8%2C3-1%29%29%2A%282x%29%5E%288-3%2B1%29%2A%28-3y%29%5E%283-1%29\" or \"C%288%2C3-1%29%2A%282x%29%5E%288-3%2B1%29%2A%28-3y%29%5E%283-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%282%2C1%2C8%2C2%29%29%2A%282x%29%5E6%2A%28-3y%29%5E2\" or \"C%288%2C2%29%2A%282x%29%5E6%2A%28-3y%29%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28%288%2A7%29%2F%282%2A1%29%29%2A2%5E6%2Ax%5E6%2A%28-3%29%5E2y%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"%2856%2F2%29%2A64%2Ax%5E6%2A9y%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"28%2A64%2A9%2Ax%5E6%2Ay%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"16128x%5E6y%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );