document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=881780>Question 881780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good evening, <BR>\n" );
document.write( "This is more of a solving polynomial equations question. Can someone help me simplify this equation 4/(x+1) + 3x /(x^2+x). The answer I received was 7x/x+1, but I am not sure of this answer because I think I did something wrong during my process. Please help me with this question. Thank you in advance.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #532475 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=532475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The denominators are NOT the same. So you CANNOT add the fractions yet.\r<BR>\n" );
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document.write( "You must make the denominators equal to the same expression so you can add the fractions. \r<BR>\n" );
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document.write( "The first denominator is x+1 and the second denominator is x^2+x=x(x+1)\r<BR>\n" );
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document.write( "Notice how the first denominator is missing an x out front\r<BR>\n" );
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document.write( "So we multiply top and bottom of the first fraction by x \r<BR>\n" );
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document.write( "After doing this, we can finally add the fractions\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28x%2B1%29+%2B+%283x%29%2F%28x%5E2%2Bx%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B1%29+%2B+%283x%29%2F%28x%5E2%2Bx%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=4%2F%28x%2B1%29+%2B+%283x%29%2F%28x%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B1%29+%2B+%283x%29%2F%28x%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28red%28x%29%2A4%29%2F%28red%28x%29%28x%2B1%29%29+%2B+%283x%29%2F%28x%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28red%28x%29%2A4%29%2F%28red%28x%29%28x%2B1%29%29+%2B+%283x%29%2F%28x%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply top and bottom of the first fraction by x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%28x%28x%2B1%29%29+%2B+%283x%29%2F%28x%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%284x%29%2F%28x%28x%2B1%29%29+%2B+%283x%29%2F%28x%28x%2B1%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=%284x%2B3x%29%2F%28x%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%284x%2B3x%29%2F%28x%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > The denominators are finally the same, so we add the numerators over the LCD.\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28x%2B1%29+%2B+%283x%29%2F%28x%5E2%2Bx%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B1%29+%2B+%283x%29%2F%28x%5E2%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%287%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So you were close. </SPAN>\n" );
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