document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5072>Question 5072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2-8x+7         x^2+3x-10<BR>\n" );
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document.write( "x^2+3x-4         x^2-9x+14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2590 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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/cgi-bin/show-face.mpl?user=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2590\">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=%28x%5E2-8x%2B7%29%2F+%28x%5E2%2B3x-4%29+%2A++%28x%5E2%2B3x-10%29%2F+%28x%5E2-9x%2B14%29+ ALIGN=MIDDLE  ALT=\"%28x%5E2-8x%2B7%29%2F+%28x%5E2%2B3x-4%29+%2A++%28x%5E2%2B3x-10%29%2F+%28x%5E2-9x%2B14%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The critical step here is to FACTOR, FACTOR, FACTOR, and FACTOR!!\r<BR>\n" );
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document.write( "You are NOT allowed to divide out terms such as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or numbers that are involved in addition or subtractions.  Everything must be in FACTORED form in order to reduce the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%28x-1%29%2F+%28x%2B4%29%28x-1%29+%2A++%28x%2B5%29%28x-2%29%2F+%28x-7%29%28x-2%29+ ALIGN=MIDDLE  ALT=\"%28x-7%29%28x-1%29%2F+%28x%2B4%29%28x-1%29+%2A++%28x%2B5%29%28x-2%29%2F+%28x-7%29%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you can divide out the factors that are the same.  You can divide out ANY factor of ANY numerator with ANY factor of ANY denominator.  This is a good place for a \"cartoon\" by tutor and owner of this website Igor Chudov, but I haven't learned to do that yet.  Maybe he will add a cartoon to this solution to show how the factors divide out.  Until then, just divide out the factors of (x-7), (x-1), and (x-2).  What is left is the (x+5) in the numerator, and the (x+4) in the denominator.\r<BR>\n" );
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document.write( "Final answer:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B5%29+%2F%28x%2B4%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B5%29+%2F%28x%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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