document.write( "Question 37349: Please help..how do i work this problem. I have to factor the numerator and denominator as completely as possible, then divide out all the like factors (one for one) in numerator and denominator.
\n" ); document.write( "
    25x \r\n" );
document.write( "—————-———— \r\n" );
document.write( " 10x + 15\r\n" );
document.write( "\r\n" );
document.write( "Please show me the details of getting the answer so i may understand how it is done.\r\n" );
document.write( "\r\n" );
document.write( "Thank you,\r\n" );
document.write( "Sean
\n" ); document.write( "

Algebra.Com's Answer #22984 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
    25x \r\n" );
document.write( "—————-———— \r\n" );
document.write( " 10x + 15\r\n" );
document.write( "\r\n" );
document.write( "Factor the numerator as 5·5·x\r\n" );
document.write( "\r\n" );
document.write( "   5·5·x \r\n" );
document.write( "—————-———— \r\n" );
document.write( " 10x + 15 \r\n" );
document.write( "\r\n" );
document.write( "Factor the denominator as 5(2x + 3)\r\n" );
document.write( "\r\n" );
document.write( "   5·5·x \r\n" );
document.write( "——————-———— \r\n" );
document.write( " 5(2x + 3) \r\n" );
document.write( "\r\n" );
document.write( "Now you may divide out the 5's which I have colored red below\r\n" );
document.write( "\r\n" );
document.write( "   5·5·x \r\n" );
document.write( "——————-———— \r\n" );
document.write( " 5(2x + 3)\r\n" );
document.write( "\r\n" );
document.write( "Normally we just cancel them like this:\r\n" );
document.write( "   1 \r\n" );
document.write( "   5·5·x \r\n" );
document.write( "——————-———— \r\n" );
document.write( " 5(2x + 3)\r\n" );
document.write( " 1\r\n" );
document.write( "\r\n" );
document.write( "and get\r\n" );
document.write( "\r\n" );
document.write( "    5·x \r\n" );
document.write( "——————-———— \r\n" );
document.write( " (2x + 3)\r\n" );
document.write( "\r\n" );
document.write( "The we write 5x for 5·x and erase the parentheses \r\n" );
document.write( "around the denominator:\r\n" );
document.write( "\r\n" );
document.write( "   5x \r\n" );
document.write( "—————-——— \r\n" );
document.write( " 2x + 3\r\n" );
document.write( "\r\n" );
document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );