document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127503>Question 127503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am stuck on a multiplication problem. I hope someone can help.\r<BR>\n" );
document.write( "\n" );
document.write( "               <BR>\n" );
document.write( "a^2 - 1        2a + 6<BR>\n" );
document.write( "___________ x _______\r<BR>\n" );
document.write( "\n" );
document.write( "a^2 - 2a -15   a^2 - a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93441 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%5E2+-+1%29%2F%28a%5E2+-+2a+-15%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%5E2+-+1%29%2F%28a%5E2+-+2a+-15%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28a%2B1%29%28a-1%29%29%2F%28a%5E2+-+2a+-15%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+1 ALIGN=MIDDLE  ALT=\"a%5E2+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B1%29%28a-1%29 ALIGN=MIDDLE  ALT=\"%28a%2B1%29%28a-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28a%2B1%29%28a-1%29%29%2F%28%28a-5%29%28a%2B3%29%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+2a+-15 ALIGN=MIDDLE  ALT=\"a%5E2+-+2a+-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-5%29%28a%2B3%29 ALIGN=MIDDLE  ALT=\"%28a-5%29%28a%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28a%2B1%29%28a-1%29%29%2F%28%28a-5%29%28a%2B3%29%29%29%28%282%28a%2B3%29%29%2F%28a%5E2+-+a%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+%2B+6 ALIGN=MIDDLE  ALT=\"2a+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28a%2B3%29 ALIGN=MIDDLE  ALT=\"2%28a%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28a%2B1%29%28a-1%29%29%2F%28%28a-5%29%28a%2B3%29%29%29%28%282%28a%2B3%29%29%2F%28a%28a-1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+a ALIGN=MIDDLE  ALT=\"a%5E2+-+a\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28a-1%29 ALIGN=MIDDLE  ALT=\"a%28a-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B1%29%28a-1%292%28a%2B3%29%2F%28a-5%29%28a%2B3%29a%28a-1%29 ALIGN=MIDDLE  ALT=\"%28a%2B1%29%28a-1%292%28a%2B3%29%2F%28a-5%29%28a%2B3%29a%28a-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B1%29cross%28a-1%292cross%28a%2B3%29%2F%28%28a-5%29cross%28a%2B3%29a%2Across%28a-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28a%2B1%29%2Fa%28a-5%29 ALIGN=MIDDLE  ALT=\"2%28a%2B1%29%2Fa%28a-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%5E2+-+1%29%2F%28a%5E2+-+2a+-15%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%5E2+-+1%29%2F%28a%5E2+-+2a+-15%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28a%2B1%29%2Fa%28a-5%29 ALIGN=MIDDLE  ALT=\"2%28a%2B1%29%2Fa%28a-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In other words,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%5E2+-+1%29%2F%28a%5E2+-+2a+-15%29%29%28%282a+%2B+6%29%2F%28a%5E2+-+a%29%29=2%28a%2B1%29%2Fa%28a-5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );