document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116841>Question 116841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with these two questions. I dont understand and I have tried to do the work but it's to confusing. PLEASE HELP ME!!!!!!\r<BR>\n" );
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document.write( "1) x^2  + 9<BR>\n" );
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document.write( "   x+3    x+3\r<BR>\n" );
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document.write( "2) x^2+2x  -  x^2+5x+6<BR>\n" );
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document.write( "    3x            3x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84951 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=84951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think what you are trying to write is:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2F%28x%2B3%29%29%2B9%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2F%28x%2B3%29%29%2B9%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B2x%29%2F3x%29-%28%28x%5E2%2B5x%2B6%29%2F3x%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B2x%29%2F3x%29-%28%28x%5E2%2B5x%2B6%29%2F3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "You don't tell us in your problem statement, but I'm going to assume that you are trying to add the fractions and then simplify.\r<BR>\n" );
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document.write( "Start by remembering back when you first started adding fractions.  If the denominators of two fractions you are trying to add are equal, then you simply add the numerators.  Symbolically, the rule looks like this:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fc%29%2B%28b%2Fc%29=%28a%2Bb%29%2Fc ALIGN=MIDDLE  ALT=\"%28a%2Fc%29%2B%28b%2Fc%29=%28a%2Bb%29%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In both of your problems, the denominators are identical, so all you need do is add the numerators.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2F%28x%2B3%29%29%2B9%2F%28x%2B3%29=%28x%5E2%2B9%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2F%28x%2B3%29%29%2B9%2F%28x%2B3%29=%28x%5E2%2B9%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  There is no real number factorization of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B9 ALIGN=MIDDLE  ALT=\"x%5E2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or to put it another way, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not a factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B9 ALIGN=MIDDLE  ALT=\"x%5E2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > so there is no more that you can do with this.\r<BR>\n" );
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document.write( "Now apply the same rule to the second problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B2x%29%2F3x%29-%28%28x%5E2%2B5x%2B6%29%2F3x%29=%28x%5E2%2B2x-x%5E2-5x-6%29%2F3x ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B2x%29%2F3x%29-%28%28x%5E2%2B5x%2B6%29%2F3x%29=%28x%5E2%2B2x-x%5E2-5x-6%29%2F3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then collect like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280x%5E2-3x-6%29%2F3x=%28-3x-6%29%2F3x ALIGN=MIDDLE  ALT=\"%280x%5E2-3x-6%29%2F3x=%28-3x-6%29%2F3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then factor out the 3 from the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28-x-2%29%2F3x=%28-x-2%29%2Fx ALIGN=MIDDLE  ALT=\"3%28-x-2%29%2F3x=%28-x-2%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and that is as simple as this one gets.\r<BR>\n" );
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document.write( "Hope this helps,<BR>\n" );
document.write( "John<BR>\n" );
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