document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93268>Question 93268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me solve this expression in simplest form?  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%2F%28x%5E2%2B4x%2B3%29 ALIGN=MIDDLE  ALT=\"%283%29%2F%28x%5E2%2B4x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%2F%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"%281%29%2F%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I am having trouble doing the subtractions of equations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67900 by </B><A HREF=/tutors/aboutme.mpl?userid=kev82><B>kev82(151)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kev82><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=67900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<br />\r<BR>\n" );
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document.write( "Just like normal fractions, with algebraic fractions you need to have a common denominator. When lookig for one, I suggest factorising as much as you can.<br />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?x^2+4x+3 = (x+1)(x+3)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?x^2-9=(x+3)(x-3)\"> The lowest common denominator is going to be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?(x+1)(x+3)(x-3)\">.<br />\r<BR>\n" );
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document.write( "So we have to multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?(x-3)\"> and mutiply the second one by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?(x+1)\">. This leaves us with:<br />\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\frac{3(x-3)}{(x+1)(x+3)(x-3)} - \frac{x+1}{(x+1)(x+3)(x-3)}\">.<br />\r<BR>\n" );
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document.write( "Can you do the subtraction now? Make sure you check your answer by putting some values into it and checking it is what it should be.<br />\r<BR>\n" );
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document.write( "Kev </SPAN>\n" );
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