document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148530>Question 148530</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>Algebra 1 california edition</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> x+1/x+2+1/x / x/x+2=1/x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108894 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=108894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I imagine this problem correctly, it looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B1%29%2F%28x%2B2%29%29%2B%281%2Fx%29%29%2F%28x%2F%28x%2B2%29%29=1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"%28%28%28x%2B1%29%2F%28x%2B2%29%29%2B%281%2Fx%29%29%2F%28x%2F%28x%2B2%29%29=1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First add x+1/x+2 and 1/x.  First get a common denominator: x(x+2).  So multiply x+1/x+2 by x/x and 1/x by x+2/x+2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%28x%2B1%29%2Fx%28x%2B2%29%29%2B%281%28x%2B2%29%2F%28x%2B2%29x%29%29%2F%28x%2F%28x%2B2%29%29=1%2Fx%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify it\r<BR>\n" );
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document.write( "becomes (in the numerators)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2Bx%29%2F%28x%5E2%2B2x%29%29%2B%28x%2B2%29%2F%28x%5E2%2B2x%29%29%2F%28x%2F%28x%2B2%29%29=1%2Fx%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add in the numerators and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B2x%2B2%29%2F%28x%5E2%2B2x%29%29%2F%28x%2F%28x%2B2%29%29=1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B2x%2B2%29%2F%28x%5E2%2B2x%29%29%2F%28x%2F%28x%2B2%29%29=1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Flip the second fraction<BR>\n" );
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document.write( "Multiply across\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B2x%5E2%2B2x%2B2x%5E2%2B4x%2B4%29%2F%28x%5E3%2B2x%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B2x%5E2%2B2x%2B2x%5E2%2B4x%2B4%29%2F%28x%5E3%2B2x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B4x%5E2%2B6x%2B4%29%2F%28x%5E3%2B2x%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B4x%5E2%2B6x%2B4%29%2F%28x%5E3%2B2x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E3%2B4x%5E2%29%2B%286x%2B4%29%29%2F%28%28x%5E3%2B2x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E3%2B4x%5E2%29%2B%286x%2B4%29%29%2F%28%28x%5E3%2B2x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%28x%2B4%29%2B2%283x%2B2%29%29%2F%28x%5E2%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%28x%2B4%29%2B2%283x%2B2%29%29%2F%28x%5E2%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Cancel out the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >'s\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B4%29%2B2%283x%2B2%29%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B4%29%2B2%283x%2B2%29%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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