document.write( "Question 193826: (3b+5) + (-b+5)
\n" ); document.write( "_________________
\n" ); document.write( "(b^2+4b+3) (b^2+2b-3) \n" ); document.write( "
Algebra.Com's Answer #145523 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
(3b+5)/(b^2+4b+3) + (-b+5)/(b^2+2b-3)
\n" ); document.write( "---
\n" ); document.write( "Factor where you can:
\n" ); document.write( "---
\n" ); document.write( "(3b+5)/(b^2+4b+3) + (-b+5)/(b^2+2b-3)
\n" ); document.write( "----
\n" ); document.write( "(3b+5)/(b+3)(b+1) - (b-5)/(b+3)(b-1)\r
\n" ); document.write( "\n" ); document.write( "-------------
\n" ); document.write( "lcd = (b+3)(b-1)(b+1)
\n" ); document.write( "-------------
\n" ); document.write( "Rewrite the two fractions:\r
\n" ); document.write( "\n" ); document.write( "[(3b+5)(b-1)]/lcd - [(b-5)(b+1)]/lcd
\n" ); document.write( "---
\n" ); document.write( "Combine the numerators over the lcd:
\n" ); document.write( "[3b^2+ 2b -5 -(b^2 - 4b -5)]/lcd
\n" ); document.write( "---
\n" ); document.write( "[3b^2+ 2b -5 -(b^2 - 4b -5)]/lcd
\n" ); document.write( "(2b^2 + 6b]/[(b+3)(b-1)(b+1)]
\n" ); document.write( "Factor:
\n" ); document.write( "[2b(b+3)]/[(b+3)(b-1)(b+1)]
\n" ); document.write( "= 2b/[b^2-1]
\n" ); document.write( "========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );