document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972494>Question 972494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> my last question in this section and I can't get it right. I hope you can help me.<BR>\n" );
document.write( "i am adding RE's with different denominators. here is the problem:\r<BR>\n" );
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document.write( "5/x^2-15x+50 +9/x^2-x-20\r<BR>\n" );
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document.write( "I went ahead and simplified the first equation to look like this: 5/(x-10)(x-5)<BR>\n" );
document.write( "the second looks like this: 9/(x-5)(x+4)<BR>\n" );
document.write( "now here is where I get stuck. Where do I go from here?  I tried to cross multiply using (x-10) and (x+4)<BR>\n" );
document.write( "I came up with 5x+20+9x-90/(x-10)(x-5)(x+4) which would give me the answer: <BR>\n" );
document.write( "14x-70/(x-10)(x-5)(x+4) but the answer key shows the answer as 14/(x-10)(x+4)<BR>\n" );
document.write( "what step am I missing? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594797 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your expression is:\r<BR>\n" );
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document.write( "5 divided by (x^2 - 15x + 50) <BR>\n" );
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document.write( "9 divided by (x^2 - x - 20)\r<BR>\n" );
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document.write( "you can factor x^2 - 15x + 50 to get (x-5) * (x-10)\r<BR>\n" );
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document.write( "you can factor x^2 - x - 20 to get (x-5) * (x-4)\r<BR>\n" );
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document.write( "your expression becomes:\r<BR>\n" );
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document.write( "5 divided by (x-5) * (x-10)<BR>\n" );
document.write( "plus<BR>\n" );
document.write( "9 divided by (x-5) * (x-4)\r<BR>\n" );
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document.write( "your common denominator will be (x-5) * (x-10) * (x-4)\r<BR>\n" );
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document.write( "you will multiply 5 divided by (x-5) * (x-10) by (x-4) / (x-4)\r<BR>\n" );
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document.write( "you will multiply 9 divided by (x-5) * (x-4) by (x-10) / (x-10)\r<BR>\n" );
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document.write( "you will get:\r<BR>\n" );
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document.write( "5 * (x-5) divided by (x-4) * (x-5) * (x-10)<BR>\n" );
document.write( "plus<BR>\n" );
document.write( "9 * (x-10) divided by (x-4) * (x-5) * (x-10)\r<BR>\n" );
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document.write( "you put both fractions under the common denominator and you will get:\r<BR>\n" );
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document.write( "5 * (x-5) + 9 * (x-10) divided by (x-4) * (x-5) * (x-10)\r<BR>\n" );
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document.write( "you would then simplify the numerator to get:\r<BR>\n" );
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document.write( "5x - 25 + 9x - 90 divided by (x-4) * (x-5) * (x-10)\r<BR>\n" );
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document.write( "you would then simplify further to get:\r<BR>\n" );
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document.write( "(14x - 115) divided by (x-4) * (x-5) * (x-10)\r<BR>\n" );
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document.write( "i believe that's as far as you need to go with the simplification.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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