document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969531>Question 969531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I just posted this equation, but I don't think it was very clear soo hopefully this format clears up any confusion. I'm taking a course online, and I couldn't be more confused. There's no teacher, and I have no idea where to even start. If someone could show me the steps to solving these equations with the 2 examples I provided, I would really appreciate it. Thanks in advance! \r<BR>\n" );
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document.write( "They ask me to simplify and state the restrictions on the variable. (Dividing/Subtracting Rational Expressions)\r<BR>\n" );
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document.write( "1. The numerator consists of x^2 - x-6, and the denominator is x^2 -4. Then we have to DIVIDE that by the numerator which is x^2 -2x+1, divided by the denominator which is x^2-1.\r<BR>\n" );
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document.write( "2. The numerator consists of 2x, and is divided by 9x^2+15x. Then we have to SUBTRACT the numerator which is 8, by the denominator which is 3x+5. <BR>\n" );
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document.write( "I really hope this is clear. Im not sure how else to break it down since I have no idea how to type up equations. Thanks again!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592393 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=592393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #2 again according to the newer description:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%289x%5E2%2B15%29-8%2F%283x%2B5%29 ALIGN=MIDDLE  ALT=\"%282x%29%2F%289x%5E2%2B15%29-8%2F%283x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The goal suggested would seem to perform addition (or subtraction) of rational expressions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B15=3%28x%5E2%2B5%29 ALIGN=MIDDLE  ALT=\"9x%5E2%2B15=3%28x%5E2%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so you have  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%28%283%29%283x%2B5%29%29-8%2F%283x%2B5%29 ALIGN=MIDDLE  ALT=\"%282x%29%2F%28%283%29%283x%2B5%29%29-8%2F%283x%2B5%29\"   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=%282x%29%2F%28%283%29%283x%2B5%29%29-%288%2F%283x%2B5%29%29%283%2F3%29 ALIGN=MIDDLE  ALT=\"%282x%29%2F%28%283%29%283x%2B5%29%29-%288%2F%283x%2B5%29%29%283%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, typical fraction skill,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F%283%283x%2B5%29%29-8%2A3%2F%283%283x%2B5%29%29 ALIGN=MIDDLE  ALT=\"2x%2F%283%283x%2B5%29%29-8%2A3%2F%283%283x%2B5%29%29\"   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=%282x-24%29%2F%283%283x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%282x-24%29%2F%283%283x%2B5%29%29\"   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=highlight%28%282x-24%29%2F%289x%5E2%2B5%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%282x-24%29%2F%289x%5E2%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------this would be your finished form for #2.\r<BR>\n" );
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document.write( "Any restrictions on x?<BR>\n" );
document.write( "Yes.<BR>\n" );
document.write( "The denominator must be NONZERO.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B5%3C%3E0 ALIGN=MIDDLE  ALT=\"9x%5E2%2B5%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Suggestion for #1 is to again, use the fraction skills which you already know.  Your description of what you are starting with is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-x-6%29%2F%28x%5E2-4%29%29%2F%28%28x%5E2-2x%2B1%29%2F%28x%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-x-6%29%2F%28x%5E2-4%29%29%2F%28%28x%5E2-2x%2B1%29%2F%28x%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "What would you do for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%28c%2Fd%29 ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%28c%2Fd%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "Then, what else to simplify, if possible? </SPAN>\n" );
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