document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206051>Question 206051</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Could you please help me out with this problem????\r<BR>\n" );
document.write( "\n" );
document.write( "   Simplify\r<BR>\n" );
document.write( "\n" );
document.write( " z^2-4z-5<BR>\n" );
document.write( "---------<BR>\n" );
document.write( " z^2-3z-4<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "z^2+9z+14<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "z^2-2z-8                      Thanks for any help your able to give!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155618 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=155618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29%29%2F%28%28z%5E2%2B9z%2B14%29%2F%28z%5E2-2z-8%29%29 ALIGN=MIDDLE  ALT=\"%28%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29%29%2F%28%28z%5E2%2B9z%2B14%29%2F%28z%5E2-2z-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\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=%28%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29%29%28%28z%5E2-2z-8%29%2F%28z%5E2%2B9z%2B14%29%29 ALIGN=MIDDLE  ALT=\"%28%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29%29%28%28z%5E2-2z-8%29%2F%28z%5E2%2B9z%2B14%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29 ALIGN=MIDDLE  ALT=\"%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the reciprocal of the second fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2%2B9z%2B14%29%2F%28z%5E2-2z-8%29 ALIGN=MIDDLE  ALT=\"%28z%5E2%2B9z%2B14%29%2F%28z%5E2-2z-8%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=%28%28%28z%2B1%29%2A%28z-5%29%29%2F%28z%5E2-3z-4%29%29%28%28z%5E2-2z-8%29%2F%28z%5E2%2B9z%2B14%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2-4z-5 ALIGN=MIDDLE  ALT=\"z%5E2-4z-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B1%29%2A%28z-5%29 ALIGN=MIDDLE  ALT=\"%28z%2B1%29%2A%28z-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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28z%2B1%29%2A%28z-5%29%29%2F%28%28z%2B1%29%2A%28z-4%29%29%29%28%28z%5E2-2z-8%29%2F%28z%5E2%2B9z%2B14%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2-3z-4 ALIGN=MIDDLE  ALT=\"z%5E2-3z-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B1%29%2A%28z-4%29 ALIGN=MIDDLE  ALT=\"%28z%2B1%29%2A%28z-4%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=%28%28%28z%2B1%29%2A%28z-5%29%29%2F%28%28z%2B1%29%2A%28z-4%29%29%29%28%28%28z%2B2%29%2A%28z-4%29%29%2F%28z%5E2%2B9z%2B14%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2-2z-8 ALIGN=MIDDLE  ALT=\"z%5E2-2z-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B2%29%2A%28z-4%29 ALIGN=MIDDLE  ALT=\"%28z%2B2%29%2A%28z-4%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=%28%28%28z%2B1%29%2A%28z-5%29%29%2F%28%28z%2B1%29%2A%28z-4%29%29%29%28%28%28z%2B2%29%2A%28z-4%29%29%2F%28%28z%2B7%29%2A%28z%2B2%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=z%5E2%2B9z%2B14 ALIGN=MIDDLE  ALT=\"z%5E2%2B9z%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B7%29%2A%28z%2B2%29 ALIGN=MIDDLE  ALT=\"%28z%2B7%29%2A%28z%2B2%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=%28%28z%2B1%29%2A%28z-5%29%28z%2B2%29%2A%28z-4%29%29%2F%28%28z%2B1%29%2A%28z-4%29%28z%2B7%29%2A%28z%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. \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=%28highlight%28%28z%2B1%29%29%28z-5%29highlight%28%28z%2B2%29%29highlight%28%28z-4%29%29%29%2F%28highlight%28%28z%2B1%29%29highlight%28%28z-4%29%29%28z%2B7%29highlight%28%28z%2B2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \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=%28cross%28%28z%2B1%29%29%28z-5%29cross%28%28z%2B2%29%29cross%28%28z-4%29%29%29%2F%28cross%28%28z%2B1%29%29cross%28%28z-4%29%29%28z%2B7%29cross%28%28z%2B2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \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=%28z-5%29%2F%28z%2B7%29 ALIGN=MIDDLE  ALT=\"%28z-5%29%2F%28z%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \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%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29%29%2F%28%28z%5E2%2B9z%2B14%29%2F%28z%5E2-2z-8%29%29 ALIGN=MIDDLE  ALT=\"%28%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29%29%2F%28%28z%5E2%2B9z%2B14%29%2F%28z%5E2-2z-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-5%29%2F%28z%2B7%29 ALIGN=MIDDLE  ALT=\"%28z-5%29%2F%28z%2B7%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%28z%5E2-4z-5%29%2F%28z%5E2-3z-4%29%29%2F%28%28z%5E2%2B9z%2B14%29%2F%28z%5E2-2z-8%29%29=%28z-5%29%2F%28z%2B7%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );