document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103185>Question 103185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1+ 2/x+ 4/x2+ 8/x3<BR>\n" );
document.write( "__________________\r<BR>\n" );
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document.write( "1- 16/x4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75041 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=75041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B+2%2Fx%2B+4%2Fx2%2B+8%2Fx3%29%2F%281-+16%2Fx4%29 ALIGN=MIDDLE  ALT=\"%281%2B+2%2Fx%2B+4%2Fx2%2B+8%2Fx3%29%2F%281-+16%2Fx4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply top and bottom by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4 ALIGN=MIDDLE  ALT=\"x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E4%2B+2x%5E3%2B+4x%5E2%2B+8x%29%2F%28x%5E4-16%29 ALIGN=MIDDLE  ALT=\"%28x%5E4%2B+2x%5E3%2B+4x%5E2%2B+8x%29%2F%28x%5E4-16%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%28x%5E3%2B+2x%5E2%2B+4x%2B+8%29%2F%28x%5E4-16%29 ALIGN=MIDDLE  ALT=\"x%28x%5E3%2B+2x%5E2%2B+4x%2B+8%29%2F%28x%5E4-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's look at the denominator first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E4-16%29=%28x%5E2%2B4%29%28x%5E2-4%29 ALIGN=MIDDLE  ALT=\"%28x%5E4-16%29=%28x%5E2%2B4%29%28x%5E2-4%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%5E4-16%29=%28x%5E2%2B4%29%28x%2B2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x%5E4-16%29=%28x%5E2%2B4%29%28x%2B2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E3%2B2x%5E2%2B4x%2B8%29%29=x%28x%5E2%2B4%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"x%28x%5E3%2B2x%5E2%2B4x%2B8%29%29=x%28x%5E2%2B4%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's substitute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E3%2B+2x%5E2%2B+4x%2B+8%29%2F%28x%5E4-16%29 ALIGN=MIDDLE  ALT=\"x%28x%5E3%2B+2x%5E2%2B+4x%2B+8%29%2F%28x%5E4-16%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%2Across%28%28x%5E2%2B4%29%29%2Across%28%28x%2B2%29%29%29%2F%28cross%28%28x%5E2%2B4%29%29%2Across%28%28x%2B2%29%29%2A%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"x%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good idea to check the answer<BR>\n" );
document.write( "Let's try x=3<BR>\n" );
document.write( "Equation 1 gives an answer <BR>\n" );
document.write( "1.Numerator=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B+2%2F3%2B+4%2F9%2B+8%2F27%29 ALIGN=MIDDLE  ALT=\"%281%2B+2%2F3%2B+4%2F9%2B+8%2F27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.Denominator=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-+16%2F81%29 ALIGN=MIDDLE  ALT=\"%281-+16%2F81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Numerator = 2.470407<BR>\n" );
document.write( "Denominator = 0.802469<BR>\n" );
document.write( "Numerator/Denominator = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x-2%29=3%2F%283-2%29 ALIGN=MIDDLE  ALT=\"x%2F%28x-2%29=3%2F%283-2%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%2F%28x-2%29=3 ALIGN=MIDDLE  ALT=\"x%2F%28x-2%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3=3 <BR>\n" );
document.write( "Good answer. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B+2%2Fx%2B+4%2Fx2%2B+8%2Fx3%29%2F%281-+16%2Fx4%29=x%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%281%2B+2%2Fx%2B+4%2Fx2%2B+8%2Fx3%29%2F%281-+16%2Fx4%29=x%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );