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 #592418 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592418\">put this solution on YOUR website!</A><BR><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" );
document.write( "\n" );
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" );
document.write( " <BR>\n" );
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( "1.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+x+-+6%29%2F%28x%5E2+-+4%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+x+-+6%29%2F%28x%5E2+-+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%F7%22 ALIGN=MIDDLE  ALT=\"%22%F7%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+2x+%2B+1%29%2F%28x%5E2+-+1%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+2x+%2B+1%29%2F%28x%5E2+-+1%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+-+3%29%28x+%2B+2%29cross%28%28x%5E2+-+x+-+6%29%29%2F%28x+-+2%29%28x+%2B+2%29cross%28%28x%5E2+-+4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%F7%22 ALIGN=MIDDLE  ALT=\"%22%F7%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29%28x+-+1%29cross%28%28x%5E2+-+2x+%2B+1%29%29%2F%28x+-+1%29%28x+%2B+1%29cross%28%28x%5E2+-+1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Factoring all numerators and denominators<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%29%28x+%2B+2%29%2F%28x+-+2%29%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"%28x+-+3%29%28x+%2B+2%29%2F%28x+-+2%29%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%F7%22 ALIGN=MIDDLE  ALT=\"%22%F7%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29%28x+-+1%29%2F%28x+-+1%29%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"%28x+-+1%29%28x+-+1%29%2F%28x+-+1%29%28x+%2B+1%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+-+3%29cross%28%28x+%2B+2%29%29%2F%28x+-+2%29cross%28%28x+%2B+2%29%29 ALIGN=MIDDLE  ALT=\"%28x+-+3%29cross%28%28x+%2B+2%29%29%2F%28x+-+2%29cross%28%28x+%2B+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%F7%22 ALIGN=MIDDLE  ALT=\"%22%F7%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28%28x+-+1%29%29%28x+-+1%29%2Fcross%28%28x+-+1%29%29%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"cross%28%28x+-+1%29%29%28x+-+1%29%2Fcross%28%28x+-+1%29%29%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- Cancelling binomials to make process easier <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%29%2F%28x+-+2%29 ALIGN=MIDDLE  ALT=\"%28x+-+3%29%2F%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%F7%22 ALIGN=MIDDLE  ALT=\"%22%F7%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29%2F%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"%28x+-+1%29%2F%28x+%2B+1%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+-+3%29%2F%28x+-+2%29 ALIGN=MIDDLE  ALT=\"%28x+-+3%29%2F%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2A%22 ALIGN=MIDDLE  ALT=\"%22%2A%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+1%29%2F%28x+-+1%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+1%29%2F%28x+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------------ Keep, change, flip [Keep 1st fraction, change the division to multiplication, and then<BR>\n" );
document.write( "                           INVERT (flip) fraction after division sign]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-+3%29%28x+%2B+1%29%29%2F%28%28x+-+2%29%28x+-+1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x+-+3%29%28x+%2B+1%29%29%2F%28%28x+-+2%29%28x+-+1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28x%5E2+-+2x+-+3%29%2F%28x%5E2+-+3x+%2B+2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28x%5E2+-+2x+-+3%29%2F%28x%5E2+-+3x+%2B+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F%289x%5E2+%2B+15x%29+-+8%2F%283x+%2B+5%29 ALIGN=MIDDLE  ALT=\"2x%2F%289x%5E2+%2B+15x%29+-+8%2F%283x+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F3x%283x+%2B+5%29cross%28%289x%5E2+%2B+15x%29%29+-+8%2F%283x+%2B+5%29 ALIGN=MIDDLE  ALT=\"2x%2F3x%283x+%2B+5%29cross%28%289x%5E2+%2B+15x%29%29+-+8%2F%283x+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Factoring all numerators and denominators<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F3x%283x+%2B+5%29+-+8%2F%283x+%2B+5%29 ALIGN=MIDDLE  ALT=\"2x%2F3x%283x+%2B+5%29+-+8%2F%283x+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cross%28x%29%2F3cross%28x%29%283x+%2B+5%29+-+8%2F%283x+%2B+5%29 ALIGN=MIDDLE  ALT=\"2cross%28x%29%2F3cross%28x%29%283x+%2B+5%29+-+8%2F%283x+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- Cancelling x in numerator and x in denominator <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3%283x+%2B+5%29+-+8%2F%283x+%2B+5%29 ALIGN=MIDDLE  ALT=\"2%2F3%283x+%2B+5%29+-+8%2F%283x+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+-+8%283%29%29%2F3%283x+%2B+5%29 ALIGN=MIDDLE  ALT=\"%282+-+8%283%29%29%2F3%283x+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- Multiplying by LCD, 3(3x + 5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+-+24%29%2F3%283x+%2B+5%29 ALIGN=MIDDLE  ALT=\"%282+-+24%29%2F3%283x+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28-+22%29%2F3%283x+%2B+5%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28-+22%29%2F3%283x+%2B+5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28-+22%29%2F%289x+%2B+15%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28-+22%29%2F%289x+%2B+15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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