document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151158>Question 1151158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving this problem: So far I have this:\r<BR>\n" );
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document.write( "x/x2+5x+6 - 2/x2+3x+2\r<BR>\n" );
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document.write( "x/(x+2)(x+3) - 2/(x+2)(x+1) but I don't know what to do next.\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 #772790 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=772790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"times\" color=\"black\" size=\"3\"><BR>\n" );
document.write( "Great job so far getting the proper factorizations. \r<BR>\n" );
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document.write( "Examine the denominators<BR>\n" );
document.write( "(x+2)(x+3) and (x+2)(x+1)\r<BR>\n" );
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document.write( "We have the unique factors: (x+2), (x+3) and (x+1)<BR>\n" );
document.write( "These unique factors form the Lowest Common Denominator (LCD).<BR>\n" );
document.write( "The LCD is (x+1)(x+2)(x+3). \r<BR>\n" );
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document.write( "The goal is to get each fraction to have the LCD. For the first fraction we have (x+2)(x+3). What's missing to have this turn into the LCD? That would be (x+1).\r<BR>\n" );
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document.write( "So we must multiply top and bottom of the first fraction by (x+1) so we get to the LCD.<BR>\n" );
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document.write( "The first fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2F%28%28x%2B2%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28x%29%2F%28%28x%2B2%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > turns into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx%29%2F%28%28x%2B1%29%28x%2B2%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%29%2F%28%28x%2B1%29%28x%2B2%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > after performing this step.\r<BR>\n" );
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document.write( "-------------------------------------------\r<BR>\n" );
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document.write( "Now turn to the second fraction <BR>\n" );
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document.write( "which is the same as <BR>\n" );
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document.write( "What's missing from the denominator to have it equal to the LCD? That would be (x+3). \r<BR>\n" );
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document.write( "Multiply top and bottom of this fraction by (x+3) to get...<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2F%28%28x%2B1%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%282%29%2F%28%28x%2B1%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > turns into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B6%29%2F%28%28x%2B1%29%28x%2B2%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%282x%2B6%29%2F%28%28x%2B1%29%28x%2B2%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------------------------------------------\r<BR>\n" );
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document.write( "To summarize so far:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2F%28%28x%2B2%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28x%29%2F%28%28x%2B2%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > turns into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx%29%2F%28%28x%2B1%29%28x%2B2%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%29%2F%28%28x%2B1%29%28x%2B2%29%28x%2B3%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=%282%29%2F%28%28x%2B1%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%282%29%2F%28%28x%2B1%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > turns into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B6%29%2F%28%28x%2B1%29%28x%2B2%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%282x%2B6%29%2F%28%28x%2B1%29%28x%2B2%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From here, we can subtract the fractions as the denominators are both the same.<BR>\n" );
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document.write( "Your answer would either be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28%28x%2B1%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28%28x%2B1%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x%5E2%2B4x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28x%5E2%2B4x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > depending on if your teacher wants you keep the denominator factored or not.<BR>\n" );
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