document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117953>Question 117953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operation.\r<BR>\n" );
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document.write( "2/p+5 PLUS 3/p+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85983 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=85983\">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=2%2F%28p%2B5%29%2B3%2F%28p%2B1%29 ALIGN=MIDDLE  ALT=\"2%2F%28p%2B5%29%2B3%2F%28p%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "In order to combine these rational expressions, we need to have a common denominator\r<BR>\n" );
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document.write( "So we need to get the denominators to the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2B5%29%28p%2B1%29 ALIGN=MIDDLE  ALT=\"%28p%2B5%29%28p%2B1%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%28p%2B1%29%2F%28p%2B1%29%29%282%2F%28p%2B5%29%29%2B3%2F%28p%2B1%29 ALIGN=MIDDLE  ALT=\"%28%28p%2B1%29%2F%28p%2B1%29%29%282%2F%28p%2B5%29%29%2B3%2F%28p%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply the 1st term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28p%2B1%29%29%2F%28%28p%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28p%2B1%29%29%2F%28%28p%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will make the 1st term have a common denominator of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2B5%29%28p%2B1%29 ALIGN=MIDDLE  ALT=\"%28p%2B5%29%28p%2B1%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=2%28p%2B1%29%2F%28p%2B1%29%28p%2B5%29%2B3%2F%28p%2B1%29 ALIGN=MIDDLE  ALT=\"2%28p%2B1%29%2F%28p%2B1%29%28p%2B5%29%2B3%2F%28p%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p%2B2%29%2F%28p%2B1%29%28p%2B5%29%2B3%2F%28p%2B1%29 ALIGN=MIDDLE  ALT=\"%282p%2B2%29%2F%28p%2B1%29%28p%2B5%29%2B3%2F%28p%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p%2B2%29%2F%28p%2B1%29%28p%2B5%29%2B%28%28p%2B5%29%2F%28p%2B5%29%29%283%2F%28p%2B1%29%29 ALIGN=MIDDLE  ALT=\"%282p%2B2%29%2F%28p%2B1%29%28p%2B5%29%2B%28%28p%2B5%29%2F%28p%2B5%29%29%283%2F%28p%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply the 2nd term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28p%2B5%29%29%2F%28%28p%2B5%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28p%2B5%29%29%2F%28%28p%2B5%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will make the 2nd term have a common denominator of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2B5%29%28p%2B1%29 ALIGN=MIDDLE  ALT=\"%28p%2B5%29%28p%2B1%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=%282p%2B2%29%2F%28p%2B1%29%28p%2B5%29%2B3%28p%2B5%29%2F%28p%2B1%29%28p%2B5%29 ALIGN=MIDDLE  ALT=\"%282p%2B2%29%2F%28p%2B1%29%28p%2B5%29%2B3%28p%2B5%29%2F%28p%2B1%29%28p%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Combine the fractions\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p%2B2%29%2F%28p%2B1%29%28p%2B5%29%2B%283p%2B15%29%2F%28p%2B1%29%28p%2B5%29 ALIGN=MIDDLE  ALT=\"%282p%2B2%29%2F%28p%2B1%29%28p%2B5%29%2B%283p%2B15%29%2F%28p%2B1%29%28p%2B5%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=%28%282p%2B2%29%2B%283p%2B15%29%29%2F%28p%2B1%29%28p%2B5%29 ALIGN=MIDDLE  ALT=\"%28%282p%2B2%29%2B%283p%2B15%29%29%2F%28p%2B1%29%28p%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Since every fraction has the common denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2B5%29%28p%2B1%29 ALIGN=MIDDLE  ALT=\"%28p%2B5%29%28p%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can combine them\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285p%2B17%29%2F%28p%2B1%29%28p%2B5%29 ALIGN=MIDDLE  ALT=\"%285p%2B17%29%2F%28p%2B1%29%28p%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28p%2B5%29%2B3%2F%28p%2B1%29 ALIGN=MIDDLE  ALT=\"2%2F%28p%2B5%29%2B3%2F%28p%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285p%2B17%29%2F%28p%2B1%29%28p%2B5%29 ALIGN=MIDDLE  ALT=\"%285p%2B17%29%2F%28p%2B1%29%28p%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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