document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=349727>Question 349727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Add or subtract as indicated,  Simplify.  Show factoring, cancelling, and the steps to finding the lowest common denominator.  (Assume that no denominator is 0.)\r<BR>\n" );
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document.write( "(x+5)(2)/x(2)+2x-15 + 2/4x-12\r<BR>\n" );
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document.write( "I really need help very soon, I am stuck and don't even know where to begin.  Thank you! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249965 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=249965\">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%28x%2B5%29%5E2%29%2F%28x%5E2%2B2x-15%29%2B2%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B5%29%5E2%29%2F%28x%5E2%2B2x-15%29%2B2%2F%284x-12%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%28x%2B5%29%28x%2B5%29%29%2F%28x%5E2%2B2x-15%29%2B2%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B5%29%28x%2B5%29%29%2F%28x%5E2%2B2x-15%29%2B2%2F%284x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the first numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B5%29%28x%2B5%29%29%2F%28%28x%2B5%29%28x-3%29%29%2B2%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B5%29%28x%2B5%29%29%2F%28%28x%2B5%29%28x-3%29%29%2B2%2F%284x-12%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=%28%28x%2B5%29%2Ahighlight%28%28x%2B5%29%29%29%2F%28highlight%28%28x%2B5%29%29%28x-3%29%29%2B2%2F%284x-12%29 ALIGN=MIDDLE   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=%28%28x%2B5%29%2Across%28%28x%2B5%29%29%29%2F%28cross%28%28x%2B5%29%29%28x-3%29%29%2B2%2F%284x-12%29 ALIGN=MIDDLE   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=%28x%2B5%29%2F%28x-3%29%2B2%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%2F%28x-3%29%2B2%2F%284x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%2F%28x-3%29%2B2%2F%284%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%2F%28x-3%29%2B2%2F%284%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator.\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=4%28x-3%29 ALIGN=MIDDLE  ALT=\"4%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So we need to get every denominator equal to the LCD so we can add the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%28x%2B5%29%29%2F%284%28x-3%29%29%2B2%2F%284%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%284%28x%2B5%29%29%2F%284%28x-3%29%29%2B2%2F%284%28x-3%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=4%2F4 ALIGN=MIDDLE  ALT=\"4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get that fraction to have 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=%284x%2B20%29%2F%284x-12%29%2B2%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%284x%2B20%29%2F%284x-12%29%2B2%2F%284x-12%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=%284x%2B20%2B2%29%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%284x%2B20%2B2%29%2F%284x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B22%29%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%284x%2B22%29%2F%284x-12%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%282x%2B11%29%29%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%282%282x%2B11%29%29%2F%284x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out a '2' 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%282x%2B11%29%29%2F%282%282x-6%29%29 ALIGN=MIDDLE  ALT=\"%282%282x%2B11%29%29%2F%282%282x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out a '2' from the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%282%29%282x%2B11%29%29%2F%28highlight%282%29%282x-6%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%282%29%282x%2B11%29%29%2F%28highlight%282%29%282x-6%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=%28cross%282%29%282x%2B11%29%29%2F%28cross%282%29%282x-6%29%29 ALIGN=MIDDLE  ALT=\"%28cross%282%29%282x%2B11%29%29%2F%28cross%282%29%282x-6%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=%282x%2B11%29%2F%282x-6%29 ALIGN=MIDDLE  ALT=\"%282x%2B11%29%2F%282x-6%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%28x%2B5%29%5E2%29%2F%28x%5E2%2B2x-15%29%2B2%2F%284x-12%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B5%29%5E2%29%2F%28x%5E2%2B2x-15%29%2B2%2F%284x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B11%29%2F%282x-6%29 ALIGN=MIDDLE  ALT=\"%282x%2B11%29%2F%282x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B5%29%5E2%29%2F%28x%5E2%2B2x-15%29%2B2%2F%284x-12%29=%282x%2B11%29%2F%282x-6%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B5%29%5E2%29%2F%28x%5E2%2B2x-15%29%2B2%2F%284x-12%29=%282x%2B11%29%2F%282x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Also, feel free to check out my <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">tutoring website</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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