document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149627>Question 149627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Add and simplify:\r<BR>\n" );
document.write( "\n" );
document.write( "1/x-2 - 4/x^2 + 3/x+2\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply and simplify:\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-6x+8/3x+9 multiplied by x+3/x^2-4\r<BR>\n" );
document.write( "\n" );
document.write( "Divide and simplify:\r<BR>\n" );
document.write( "\n" );
document.write( "y2+7y +10/2y-4 divided by y^2-3y-10/y-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109764 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=109764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x-2%29+-+4%2F%28x%5E2%29+%2B+3%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-2%29+-+4%2F%28x%5E2%29+%2B+3%2F%28x%2B2%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%28x%5E2%28x%2B2%29%29%2F%28x%5E2%28x%2B2%29%29%29%281%2F%28x-2%29%29+-+%28%28%28x%2B2%29%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%29%29%284%2F%28x%5E2%29%29+%2B+%28%28x%5E2%28x-2%29%29%2F%28x%5E2%28x-2%29%29%29%283%2F%28x%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%28x%2B2%29%29%2F%28x%5E2%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%28x%2B2%29%29%2F%28x%5E2%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Multiply the second term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Multiply the third term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%28x-2%29%29%2F%28x%5E2%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%28x-2%29%29%2F%28x%5E2%28x-2%29%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=%28x%5E2%28x%2B2%29%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29+-+%284%28x%2B2%29%28x-2%29%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29+%2B+%283x%5E2%28x-2%29%29%2F%28x%5E2%28x%2B2%29%28x-2%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=%28x%5E3%2B2x%5E2%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29+-+%284%28x%5E2-4%29%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29+%2B+%283x%5E2%28x-2%29%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the terms in the numerator.\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=%28x%5E3%2B2x%5E2%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29+-+%284x%5E2-16%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29+%2B+%283x%5E3-6x%5E2%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
document.write( "<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%28x%5E3%2B2x%5E2%29-+%284x%5E2-16%29%2B%283x%5E3-6x%5E2%29%29%2F%28x%5E2%28x%2B2%29%28x-2%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=%28x%5E3%2B2x%5E2-+4x%5E2%2B16%2B3x%5E3-6x%5E2%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B2x%5E2-+4x%5E2%2B16%2B3x%5E3-6x%5E2%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\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=%284x%5E3-8x%5E2%2B16%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%284x%5E3-8x%5E2%2B16%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
document.write( "<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=1%2F%28x-2%29+-+4%2F%28x%5E2%29+%2B+3%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-2%29+-+4%2F%28x%5E2%29+%2B+3%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E3-8x%5E2%2B16%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%284x%5E3-8x%5E2%2B16%29%2F%28x%5E2%28x%2B2%29%28x-2%29%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=1%2F%28x-2%29-4%2F%28x%5E2%29%2B3%2F%28x%2B2%29=%284x%5E3-8x%5E2%2B16%29%2F%28x%5E2%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-2 ALIGN=MIDDLE  ALT=\"x%3C%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E2 ALIGN=MIDDLE  ALT=\"x%3C%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<hr>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<hr>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "# 2\r<BR>\n" );
document.write( "<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%28x%5E2-6x%2B8%29%2F%283x%2B9%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-6x%2B8%29%2F%283x%2B9%29%29%28%28x%2B3%29%2F%28x%5E2-4%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%28%28x-2%29%2A%28x-4%29%29%2F%283x%2B9%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-2%29%2A%28x-4%29%29%2F%283x%2B9%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2B8 ALIGN=MIDDLE  ALT=\"x%5E2-6x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2A%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2A%28x-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%28x-2%29%2A%28x-4%29%29%2F%283%28x%2B3%29%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-2%29%2A%28x-4%29%29%2F%283%28x%2B3%29%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9 ALIGN=MIDDLE  ALT=\"3x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B3%29 ALIGN=MIDDLE  ALT=\"3%28x%2B3%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%28x-2%29%2A%28x-4%29%29%2F%283%28x%2B3%29%29%29%28%28x%2B3%29%2F%28%28x-2%29%2A%28x%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=x%5E2-4 ALIGN=MIDDLE  ALT=\"x%5E2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2A%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2A%28x%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%28x-2%29%2A%28x-4%29%28x%2B3%29%29%2F%283%28x%2B3%29%28x-2%29%2A%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-2%29%2A%28x-4%29%28x%2B3%29%29%2F%283%28x%2B3%29%28x-2%29%2A%28x%2B2%29%29\"   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%28x-2%29%28x-4%29highlight%28x%2B3%29%29%2F%28%283%29highlight%28x%2B3%29highlight%28x-2%29%28x%2B2%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%28x-2%29%28x-4%29cross%28x%2B3%29%29%2F%28%283%29cross%28x%2B3%29cross%28x-2%29%28x%2B2%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=%28x-4%29%2F%283%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x-4%29%2F%283%28x%2B2%29%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%28x%5E2-6x%2B8%29%2F%283x%2B9%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-6x%2B8%29%2F%283x%2B9%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%2F%283%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x-4%29%2F%283%28x%2B2%29%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%28x%5E2-6x%2B8%29%2F%283x%2B9%29%29%28%28x%2B3%29%2F%28x%5E2-4%29%29=%28x-4%29%2F%283%28x%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-2 ALIGN=MIDDLE  ALT=\"x%3C%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E2 ALIGN=MIDDLE  ALT=\"x%3C%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<hr>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "# 3\r<BR>\n" );
document.write( "<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%28y%5E2%2B7y%2B10%29%2F%282y-4%29%29%2F%28%28y%5E2-3y-10%29%2F%28y-2%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%5E2%2B7y%2B10%29%2F%282y-4%29%29%2F%28%28y%5E2-3y-10%29%2F%28y-2%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%28y%5E2%2B7y%2B10%29%2F%282y-4%29%29%28%28y-2%29%2F%28y%5E2-3y-10%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%5E2%2B7y%2B10%29%2F%282y-4%29%29%28%28y-2%29%2F%28y%5E2-3y-10%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=%28y%5E2%2B7y%2B10%29%2F%282y-4%29 ALIGN=MIDDLE  ALT=\"%28y%5E2%2B7y%2B10%29%2F%282y-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=%28y%5E2-3y-10%29%2F%28y-2%29 ALIGN=MIDDLE  ALT=\"%28y%5E2-3y-10%29%2F%28y-2%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%28y%2B5%29%2A%28y%2B2%29%29%2F%282y-4%29%29%28%28y-2%29%2F%28y%5E2-3y-10%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28y%2B5%29%2A%28y%2B2%29%29%2F%282y-4%29%29%28%28y-2%29%2F%28y%5E2-3y-10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B7y%2B10 ALIGN=MIDDLE  ALT=\"y%5E2%2B7y%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%2A%28y%2B2%29 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%2A%28y%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%28%28y%2B5%29%2A%28y%2B2%29%29%2F%282%28y-2%29%29%29%28%28y-2%29%2F%28y%5E2-3y-10%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28y%2B5%29%2A%28y%2B2%29%29%2F%282%28y-2%29%29%29%28%28y-2%29%2F%28y%5E2-3y-10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y-4 ALIGN=MIDDLE  ALT=\"2y-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28y-2%29 ALIGN=MIDDLE  ALT=\"2%28y-2%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%28y%2B5%29%2A%28y%2B2%29%29%2F%282%28y-2%29%29%29%28%28y-2%29%2F%28%28y%2B2%29%2A%28y-5%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=y%5E2-3y-10 ALIGN=MIDDLE  ALT=\"y%5E2-3y-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B2%29%2A%28y-5%29 ALIGN=MIDDLE  ALT=\"%28y%2B2%29%2A%28y-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%28y%2B5%29%2A%28y%2B2%29%28y-2%29%29%2F%282%28y-2%29%28y%2B2%29%2A%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%2B5%29%2A%28y%2B2%29%28y-2%29%29%2F%282%28y-2%29%28y%2B2%29%2A%28y-5%29%29\"   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=%28%28y%2B5%29highlight%28y%2B2%29highlight%28y-2%29%29%2F%28%282%29highlight%28y-2%29highlight%28y%2B2%29%28y-5%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=%28%28y%2B5%29cross%28y%2B2%29cross%28y-2%29%29%2F%28%282%29cross%28y-2%29cross%28y%2B2%29%28y-5%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=%28y%2B5%29%2F%282%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%2F%282%28y-5%29%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%28y%5E2%2B7y%2B10%29%2F%282y-4%29%29%2F%28%28y%5E2-3y-10%29%2F%28y-2%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%5E2%2B7y%2B10%29%2F%282y-4%29%29%2F%28%28y%5E2-3y-10%29%2F%28y-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%2F%282%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%2F%282%28y-5%29%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%28y%5E2%2B7y%2B10%29%2F%282y-4%29%29%2F%28%28y%5E2-3y-10%29%2F%28y-2%29%29=%28y%2B5%29%2F%282%28y-5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E-2 ALIGN=MIDDLE  ALT=\"y%3C%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E2 ALIGN=MIDDLE  ALT=\"y%3C%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E5 ALIGN=MIDDLE  ALT=\"y%3C%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );