document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99546>Question 99546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two questions I am not sure I solved correctly could you possibly help me and tell me if I solved these both correctly?  Thank you.  \r<BR>\n" );
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document.write( "add and simplify:  \r<BR>\n" );
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document.write( "1.)  x^2/x+10 + 9x-10/x+10  I got x + 9 is this correct?  \r<BR>\n" );
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document.write( "substract and simplify: \r<BR>\n" );
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document.write( "2.)  y-2/y+3 - y/2y+6   I got y-4/2(y+3) is this correct?  \r<BR>\n" );
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document.write( "Thank you in advance for your help.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72405 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=72405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your second answer is correct.<BR>\n" );
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document.write( "The answer to the first problem is x-1 and you get it as follows:<BR>\n" );
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document.write( "Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F%28x%2B10%29+%2B+%289x+-+10%29%2F%28x%2B10%29 ALIGN=MIDDLE  ALT=\"x%5E2%2F%28x%2B10%29+%2B+%289x+-+10%29%2F%28x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since both parts of this problem have the common denominator of x + 10, the numerators<BR>\n" );
document.write( "can be added and the result placed over the common denominator to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+9x+-+10%29%2F%28x%2B10%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+9x+-+10%29%2F%28x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The numerator can be factored. When you factor it the result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-1%29%28x%2B10%29%29%2F%28x%2B10%29 ALIGN=MIDDLE  ALT=\"%28%28x+-1%29%28x%2B10%29%29%2F%28x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now cancel the common factors of x + 10 in the numerator and x+10 in the denominator:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-1%29%28cross%28x%2B10%29%29%29%2F%28cross%28x%2B10%29%29 ALIGN=MIDDLE  ALT=\"%28%28x+-1%29%28cross%28x%2B10%29%29%29%2F%28cross%28x%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and you are left with the answer:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1 ALIGN=MIDDLE  ALT=\"x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you find your mistake. I suspect it was in the factoring of the numerator.<BR>\n" );
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document.write( "Good job on the second problem. That was a little \"tricky\" to solve. </SPAN>\n" );
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