document.write( "Question 73003: Can you help please help me? I need to find the difference in simplest form.\r
\n" ); document.write( "\n" ); document.write( "((5)/(x+5))) - ((2x+5)/(x^(2)+9x+20)))\r
\n" ); document.write( "\n" ); document.write( "please help me!!
\n" ); document.write( "thanks
\n" ); document.write( "

Algebra.Com's Answer #52216 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
find the difference in simplest form.
\n" ); document.write( "((5)/(x+5))) - ((2x+5)/(x^(2)+9x+20))) \r
\n" ); document.write( "\n" ); document.write( "Factor the 2nd denominator as: (x+4)(x+5)
\n" ); document.write( "Then the lcd (least common denominator is (x+4)(x+5)
\n" ); document.write( "Write each fraction with the lcd as its denominator:
\n" ); document.write( "[5(x+4)]/lcd - [(2x+5)]/lcd\r
\n" ); document.write( "\n" ); document.write( "Since the denominators are the same, combine the numerators to get:\r
\n" ); document.write( "\n" ); document.write( "[5x+20-2x-5]/lcd
\n" ); document.write( "(3x+15)/lcd
\n" ); document.write( "(3(x+5))/[(x+4)(x+5)]
\n" ); document.write( "Cancel the common factor of (x+5) to get:
\n" ); document.write( "3/(x+4)\r
\n" ); document.write( "\n" ); document.write( "================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );