document.write( "Question 149833: How do you factor \"4x%5E2+%2B+20x+%2B+5y+%2Bxy\"? \n" ); document.write( "
Algebra.Com's Answer #109963 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
How do you factor \"4x%5E2+%2B+20x+%2B+5y+%2Bxy\"? \r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "By grouping, factor \"4x\" out of the first two terms only:\r\n" );
document.write( "\r\n" );
document.write( "\"4x%28x+%2B+5%29+%2B+5y+%2Bxy\"\r\n" );
document.write( "\r\n" );
document.write( "Next factor y out of the last two terms only:\r\n" );
document.write( "\r\n" );
document.write( "\"4x%28x+%2B+5%29+%2B+y%285+%2Bx%29\"\r\n" );
document.write( " \r\n" );
document.write( "Notice that \"%28x%2B5%29\" is the same as \"%285%2Bx%29\",\r\n" );
document.write( "so we write \"%285%2Bx%29\" as \"%28x%2B5%29\" \r\n" );
document.write( "\r\n" );
document.write( "\"4x%28x+%2B+5%29+%2B+y%28x%2B5%29\"\r\n" );
document.write( "\r\n" );
document.write( "Now the \"%28x%2B5%29\" is a common factor. So we factor it\r\n" );
document.write( "out as:\r\n" );
document.write( "\r\n" );
document.write( "\"%28x+%2B+5%29%284x%2By%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );