document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153924>Question 153924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Subtract\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 #113301 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=113301\">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=%281%29%2F%28x%5E2-2x%29-5%2F%28x%5E2-4x%2B4%29 ALIGN=MIDDLE  ALT=\"%281%29%2F%28x%5E2-2x%29-5%2F%28x%5E2-4x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%2F%28x%28x-2%29%29-5%2F%28x%5E2-4x%2B4%29 ALIGN=MIDDLE  ALT=\"%281%29%2F%28x%28x-2%29%29-5%2F%28x%5E2-4x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x ALIGN=MIDDLE  ALT=\"x%5E2-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-2%29 ALIGN=MIDDLE  ALT=\"x%28x-2%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=%281%29%2F%28x%28x-2%29%29-5%2F%28%28x-2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%281%29%2F%28x%28x-2%29%29-5%2F%28%28x-2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"x%28x-2%29%28x-2%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=%28%28x-2%29%2F%28x-2%29%29%28%281%29%2F%28x%28x-2%29%29%29-5%2F%28%28x-2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-2%29%2F%28x-2%29%29%28%281%29%2F%28x%28x-2%29%29%29-5%2F%28%28x-2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x-2%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=%28x-2%29%2F%28x%28x-2%29%28x-2%29%29-5%2F%28%28x-2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%28x-2%29%28x-2%29%29-5%2F%28%28x-2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x%28x-2%29%28x-2%29%29-%28x%2Fx%29%285%2F%28%28x-2%29%28x-2%29%29%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%28x-2%29%28x-2%29%29-%28x%2Fx%29%285%2F%28%28x-2%29%28x-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2F%28x%29 ALIGN=MIDDLE  ALT=\"%28x%29%2F%28x%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=%28x-2%29%2F%28x%28x-2%29%28x-2%29%29-%285x%29%2F%28x%28x-2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%28x-2%29%28x-2%29%29-%285x%29%2F%28x%28x-2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the fractions\r<BR>\n" );
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document.write( "Since the denominators are now equal, this means that we can subtract the fractions. To do this, simply subtract the numerators and place that over the common denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2-5x%29%2F%28x%28x-2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28x-2-5x%29%2F%28x%28x-2%29%28x-2%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=%28-6x-2%29%2F%28x%28x-2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28-6x-2%29%2F%28x%28x-2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%2F%28x%5E2-2x%29-%285%29%2F%28x%5E2-4x%2B4%29 ALIGN=MIDDLE  ALT=\"%281%29%2F%28x%5E2-2x%29-%285%29%2F%28x%5E2-4x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtracts and simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6x-2%29%2F%28x%28x-2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28-6x-2%29%2F%28x%28x-2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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