document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144818>Question 144818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> since i didnt understand the multiplying part, i didnt really understand the division part either, would be cool if someone could also explain this problem to me; x^2+5x+4/(x+3)^2 divided by x+1/x^2-9. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105507 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=105507\">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=%28%28x%5E2%2B5x%2B4%29%2F%28x%2B3%29%5E2%29%2F%28%28x%2B1%29%2F%28x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B5x%2B4%29%2F%28x%2B3%29%5E2%29%2F%28%28x%2B1%29%2F%28x%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Remember when you learned to divide one fraction by another?  Just invert the denominator fraction and multiply:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2F%283%2F4%29=%281%2F2%29%284%2F3%29=4%2F6=2%2F3 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2F%283%2F4%29=%281%2F2%29%284%2F3%29=4%2F6=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Do the same thing here:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B5x%2B4%29%2F%28x%2B3%29%5E2%29%2F%28%28x%2B1%29%2F%28x%5E2-9%29%29+=+%28%28x%5E2%2B5x%2B4%29%2F%28x%2B3%29%5E2%29%28%28x%5E2-9%29%2F%28x%2B1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To simplify, you need to factor:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5x%2B4=%28x%2B4%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x%2B4=%28x%2B4%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2=%28x%2B3%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2=%28x%2B3%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9=%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"x%5E2-9=%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Difference of two squares)\r<BR>\n" );
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document.write( "Now put the factored forms back in and see what you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B5x%2B4%29%2F%28x%2B3%29%5E2%29%28%28x%5E2-9%29%2F%28x%2B1%29%29=%28%28x%2B4%29%28x%2B1%29%2F%28x%2B3%29%28x%2B3%29%29%28%28x%2B3%29%28x-3%29%2F%28x%2B1%29%29=+%28x%2B4%29%28x%2B1%29%28x%2B3%29%28x-3%29%2F%28x%2B3%29%28x%2B3%29%28x%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then you can eliminate factors that are common to both numerator and denominator because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fa=1 ALIGN=MIDDLE  ALT=\"a%2Fa=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > for any real <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   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=%28x%2B4%29%2Across%28%28x%2B1%29%29%2Across%28%28x%2B3%29%29%28x-3%29%2F%28cross%28%28x%2B3%29%29%28x%2B3%29%2Across%28%28x%2B1%29%29%29=%28x%2B4%29%28x-3%29%2F%28x%2B3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Depending on what your instructor expects, you can either leave that as the answer, or multiply the remaining binomials in the numerator:\r<BR>\n" );
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