document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203367>Question 203367</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Rational expressions with different denominators\r<BR>\n" );
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document.write( "2x/x^2-9+3x/x^2+4x+3\r<BR>\n" );
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document.write( "I am confused on how to find a common denominator. I know for the first one it could be either 3x(x-3) or (x-3)(x+3) for the second denominator i can only think of (x+3)(x+1) i just don't know which denominator is missing what. \r<BR>\n" );
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document.write( "I apprecate any help you can give me thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153435 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=153435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rational expressions with different denominators <BR>\n" );
document.write( "2x/x^2-9 + 3x/x^2+4x+3 <BR>\n" );
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document.write( "You have to factor whereever you can so you can see the lcd:<BR>\n" );
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document.write( "(2x)/[(x-3)(x+3)] + (3x)/[(x+3)(x+1)]<BR>\n" );
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document.write( "The lcd must contain each unique factor it its hghest power.<BR>\n" );
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document.write( "lcd = (x+1)(x+3)(x-3)<BR>\n" );
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document.write( "Write each fraction over the lcd:<BR>\n" );
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document.write( "[(2x)(x+1)]/lcd + [(3x)(x+3)]/lcd<BR>\n" );
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document.write( "Combine the numerators over the lcd:<BR>\n" );
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document.write( "[2x^2 + 2x + 3x^2+ 9x]/lcd<BR>\n" );
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document.write( "Simplify:<BR>\n" );
document.write( "[5x^2 + 11x]/ [(x+1)(x+3)(x-3)]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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