document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175922>Question 175922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! This question has been bugging me since I first looked at it, because it leaves me confused as to where to start. I want to believe that you factor the denominators, but I have never been too great at factoring and am not sure if anything I'm doing is right! Thanks in advance.\r<BR>\n" );
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document.write( "Simplify.<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 #131037 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=131037\">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=+%28-7v%29%2F%282u%5E2-5uv-3v%5E2%29+-+1%2F%283v-u%29+ ALIGN=MIDDLE  ALT=\"+%28-7v%29%2F%282u%5E2-5uv-3v%5E2%29+-+1%2F%283v-u%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=+%28-7v%29%2F%28-%28v%2B2u%29%283v-u%29%29+-+1%2F%283v-u%29+ ALIGN=MIDDLE  ALT=\"+%28-7v%29%2F%28-%28v%2B2u%29%283v-u%29%29+-+1%2F%283v-u%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287v%29%2F%28%28v%2B2u%29%283v-u%29%29+-+1%2F%283v-u%29+ ALIGN=MIDDLE  ALT=\"+%287v%29%2F%28%28v%2B2u%29%283v-u%29%29+-+1%2F%283v-u%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "Take note that the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28v%2B2u%29%283v-u%29 ALIGN=MIDDLE  ALT=\"%28v%2B2u%29%283v-u%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=+%287v%29%2F%28%28v%2B2u%29%283v-u%29%29+-+%28v%2B2u%29%2F%28%28v%2B2u%29%283v-u%29%29+ ALIGN=MIDDLE  ALT=\"+%287v%29%2F%28%28v%2B2u%29%283v-u%29%29+-+%28v%2B2u%29%2F%28%28v%2B2u%29%283v-u%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the the numerator and denominator of the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28v%2B2u%29%2F%28v%2B2u%29 ALIGN=MIDDLE  ALT=\"%28v%2B2u%29%2F%28v%2B2u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to get the denominator equal to the LCD)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287v-%28v%2B2u%29%29%2F%28%28v%2B2u%29%283v-u%29%29+ ALIGN=MIDDLE  ALT=\"+%287v-%28v%2B2u%29%29%2F%28%28v%2B2u%29%283v-u%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. This is now possible since the denominators are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287v-v-2u%29%2F%28%28v%2B2u%29%283v-u%29%29+ ALIGN=MIDDLE  ALT=\"+%287v-v-2u%29%2F%28%28v%2B2u%29%283v-u%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286v-2u%29%2F%28%28v%2B2u%29%283v-u%29%29+ ALIGN=MIDDLE  ALT=\"+%286v-2u%29%2F%28%28v%2B2u%29%283v-u%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%283v-u%29%29%2F%28%28v%2B2u%29%283v-u%29%29+ ALIGN=MIDDLE  ALT=\"+%282%283v-u%29%29%2F%28%28v%2B2u%29%283v-u%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2Ahighlight%28%283v-u%29%29%29%2F%28%28v%2B2u%29highlight%28%283v-u%29%29%29+ ALIGN=MIDDLE  ALT=\"+%282%2Ahighlight%28%283v-u%29%29%29%2F%28%28v%2B2u%29highlight%28%283v-u%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2Across%28%283v-u%29%29%29%2F%28%28v%2B2u%29cross%28%283v-u%29%29%29+ ALIGN=MIDDLE  ALT=\"+%282%2Across%28%283v-u%29%29%29%2F%28%28v%2B2u%29cross%28%283v-u%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28v%2B2u%29 ALIGN=MIDDLE  ALT=\"2%2F%28v%2B2u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-7v%29%2F%282u%5E2-5uv-3v%5E2%29+-+1%2F%283v-u%29+ ALIGN=MIDDLE  ALT=\"+%28-7v%29%2F%282u%5E2-5uv-3v%5E2%29+-+1%2F%283v-u%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28v%2B2u%29 ALIGN=MIDDLE  ALT=\"2%2F%28v%2B2u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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