document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84323>Question 84323</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131430920/algebrahomeworkh>College Algebra </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hello! My name is Salem and I am a concurrently enrolled student at Carl Albert State College. I have just started College Algebra and I asked my high school math teacher to help me with this question and neither of us can get it right. Can you please help me? It is due tomorrow!<BR>\n" );
document.write( "Here is the question:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Fx%5E2-1%29-%28%28x%2B3%29%2Fx%5E2-x%29=%28%28-3%29%2Fx%5E2%2Bx%29 ALIGN=MIDDLE  ALT=\"%28x%2Fx%5E2-1%29-%28%28x%2B3%29%2Fx%5E2-x%29=%28%28-3%29%2Fx%5E2%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In words, it is: (x over x squared minus one), minus (x plus three over x squared minus x) equals (negative three over x squared plus x).   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60728 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=60728\">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=x%2F%28x%5E2-1%29+-+%28%28x%2B3%29%2F%28x%5E2+-+x%29%29+=+%28-3%29%2F%28x%5E2+%2Bx%29+ ALIGN=MIDDLE  ALT=\"x%2F%28x%5E2-1%29+-+%28%28x%2B3%29%2F%28x%5E2+-+x%29%29+=+%28-3%29%2F%28x%5E2+%2Bx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First factor each denominator in order to find the LCD:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28%28x-1%29%28x%2B1%29%29+-+%28%28x%2B3%29%2F%28x%28x+-+1%29%29%29+=+%28-3%29%2F%28x%28x%2B1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The LCD = x(x-1)(x+1), so multiply both sides of the equation by the LCD, makin note that x cannot equal 0, 1, or -1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-1%29%28x%2B1%29%2A%28x%2F%28%28x-1%29%28x%2B1%29%29%29+-+x%28x-1%29%28x%2B1%29%2A%28%28x%2B3%29%2F%28x%28x+-+1%29%29%29+=+x%28x-1%29%28x%2B1%29%2A%28%28-3%29%2F%28x%28x%2B1%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When ALL these denominators divide out, this is all that is left:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-%28x%2B1%29%28x%2B3%29+=+%28x-1%29%28-3%29+ ALIGN=MIDDLE  ALT=\"x%5E2+-%28x%2B1%29%28x%2B3%29+=+%28x-1%29%28-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-%28x%5E2+%2B4x%2B3%29+=+-3x%2B3 ALIGN=MIDDLE  ALT=\"x%5E2+-%28x%5E2+%2B4x%2B3%29+=+-3x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-x%5E2+-4x-3+=+-3x+%2B3+ ALIGN=MIDDLE  ALT=\"x%5E2+-x%5E2+-4x-3+=+-3x+%2B3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x-3=-3x%2B3 ALIGN=MIDDLE  ALT=\"-4x-3=-3x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%2B3x-3+=+-3x%2B3x%2B3 ALIGN=MIDDLE  ALT=\"-4x%2B3x-3+=+-3x%2B3x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x-3%2B3=3%2B3 ALIGN=MIDDLE  ALT=\"-x-3%2B3=3%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x=6 ALIGN=MIDDLE  ALT=\"-x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6 ALIGN=MIDDLE  ALT=\"x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The answer does NOT make any denominators zero, so it should check okay!<BR>\n" );
document.write( "It does, but it's hairy!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( "PS.  Get your math teacher to check out my website by clicking on my tutor name \"rapaljer\" anywhere in algebra.com.  Take a look at, among other pages, my \"MATH IN LIVING COLOR PAGES!\"\r<BR>\n" );
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