document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201443>Question 201443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> multiply x^2+4x-12/x^2+4x-32*X^2+10x+16/x^2+10x+24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151656 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=151656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B4x-12%29%2F%28x%5E2%2B4x-32%29%29%28%28x%5E2%2B10x%2B16%29%2F%28x%5E2%2B10x%2B24%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B6%29%2A%28x-2%29%29%2F%28x%5E2%2B4x-32%29%29%28%28x%5E2%2B10x%2B16%29%2F%28x%5E2%2B10x%2B24%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%2B4x-12 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B6%29%2A%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x%2B6%29%2A%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B6%29%2A%28x-2%29%29%2F%28%28x%2B8%29%2A%28x-4%29%29%29%28%28x%5E2%2B10x%2B16%29%2F%28x%5E2%2B10x%2B24%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%2B4x-32 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x-32\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%2A%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%2A%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B6%29%2A%28x-2%29%29%2F%28%28x%2B8%29%2A%28x-4%29%29%29%28%28%28x%2B8%29%2A%28x%2B2%29%29%2F%28x%5E2%2B10x%2B24%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%2B10x%2B16 ALIGN=MIDDLE  ALT=\"x%5E2%2B10x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%2A%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%2A%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B6%29%2A%28x-2%29%29%2F%28%28x%2B8%29%2A%28x-4%29%29%29%28%28%28x%2B8%29%2A%28x%2B2%29%29%2F%28%28x%2B6%29%2A%28x%2B4%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%2B10x%2B24 ALIGN=MIDDLE  ALT=\"x%5E2%2B10x%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B6%29%2A%28x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x%2B6%29%2A%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B6%29%2A%28x-2%29%28x%2B8%29%2A%28x%2B2%29%29%2F%28%28x%2B8%29%2A%28x-4%29%28x%2B6%29%2A%28x%2B4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28%28x%2B6%29%29%28x-2%29highlight%28%28x%2B8%29%29%28x%2B2%29%29%2F%28highlight%28%28x%2B8%29%29%28x-4%29highlight%28%28x%2B6%29%29%28x%2B4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28x%2B6%29%29%28x-2%29cross%28%28x%2B8%29%29%28x%2B2%29%29%2F%28cross%28%28x%2B8%29%29%28x-4%29cross%28%28x%2B6%29%29%28x%2B4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2%29%28x%2B2%29%29%2F%28%28x-4%29%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-2%29%28x%2B2%29%29%2F%28%28x-4%29%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4%29%2F%28x%5E2-16%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-4%29%2F%28x%5E2-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B4x-12%29%2F%28x%5E2%2B4x-32%29%29%28%28x%5E2%2B10x%2B16%29%2F%28x%5E2%2B10x%2B24%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4%29%2F%28x%5E2-16%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-4%29%2F%28x%5E2-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B4x-12%29%2F%28x%5E2%2B4x-32%29%29%28%28x%5E2%2B10x%2B16%29%2F%28x%5E2%2B10x%2B24%29%29=%28x%5E2-4%29%2F%28x%5E2-16%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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