document.write( "Question 975790: (2x+y)(4x^2-2xy+y^2) \n" ); document.write( "
Algebra.Com's Answer #597429 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
\"%282x%5E%22%22%2By%29%284x%5E2-2xy%2By%5E2%29\"
\n" ); document.write( "
\r\n" );
document.write( "The given expression resembles the results of factoring the sum of\r\n" );
document.write( "two cubes, as in\r\n" );
document.write( "\r\n" );
document.write( "\"A%5E3%2BB%5E3%29\"\"%22%22=%22%22\"\"%28A%5E%22%22%2BB%29%28A%5E2-AB%2BB%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "So we try to get the given expression into the form of the right side: \"%28A%2BB%29%28A%5E2-AB%2BB%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28%282x%29%5E%22%22%2B%28y%29%29%28%282x%29%5E2-%282x%29y%2B%28y%29%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "So A=2x, B=y\r\n" );
document.write( "\r\n" );
document.write( "This shows that the given expression is the factorization of\r\n" );
document.write( "\r\n" );
document.write( "\"%282x%29%5E3%2By%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "\"8x%5E3%2By%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );