document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746174>Question 746174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve :  ((4x^2-x-12)/(x^2+9x+18)) / ((x^2+x-20)/(x^2+8x+15))\r<BR>\n" );
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document.write( "Your awesome </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454178 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if we invert the divisor and rewrite as multiplication then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28%284x%5E2-x-12%29%2F%28x%5E2%2B9x%2B18%29%29+%2F+%28%28x%5E2%2Bx-20%29%2F%28x%5E2%2B8x%2B15%29%29=%0D%0A%0D%0A%28%284x%5E2-x-12%29%2F%28x%5E2%2B9x%2B18%29%29%2A+%28%28x%5E2%2B8x%2B15%29%2F%28x%5E2%2Bx-20%29%29%0D%0A+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factoring is a little tedious, but you can verify that when factored we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%0D%0A%28%284x%5E2-x-12%29%2F%28x%5E2%2B9x%2B18%29%29%2A+%28%28x%5E2%2B8x%2B15%29%2F%28x%5E2%2Bx-20%29%29=%0D%0A%0D%0A%28%0D%0A%284x%5E2-x-12%29%2F%28%28x%2B3%29%28x%2B6%29%29%0D%0A%29%0D%0A%2A%0D%0A%28%0D%0A%28%0D%0A%28x%2B3%29%28x%2B5%29%0D%0A%29%0D%0A%2F%0D%0A%28%28x%2B5%29%28x-4%29%29%0D%0A%0D%0A%29%0D%0A+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "next we cancel:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%0D%0A%28%284x%5E2-x-12%29%2F%28x%5E2%2B9x%2B18%29%29%2A+%28%28x%5E2%2B8x%2B15%29%2F%28x%5E2%2Bx-20%29%29=%0D%0A%0D%0A%0D%0A%284x%5E2-x-12%29%2F%28%28x%2B6%29%28x-4%29%29%0D%0A%0D%0A+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and finally...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%284x%5E2-x-12%29%2F%28x%5E2%2B2x-24%29%0D%0A%0D%0A+ ALIGN=MIDDLE  ALT=\"%0D%0A%284x%5E2-x-12%29%2F%28x%5E2%2B2x-24%29%0D%0A%0D%0A+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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