document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244077>Question 244077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trying to assist 13 yr old son.. \r<BR>\n" );
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document.write( "Just when I think there wont be a problem helping him cause he says it's LCD'S mom. I look at the problem and it involves fractions and LCD'S, these I do not know how to do. Any help much appreciated.. \r<BR>\n" );
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document.write( "What I am looking for is the LCD between the two fractions on questions 1 and 2\r<BR>\n" );
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document.write( "1. 5/x-6,7/x^2-12x+36 \r<BR>\n" );
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document.write( "2.5/7ab^5,2/7a^3b^3 \r<BR>\n" );
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document.write( "Can anyone help me with these problems? Ihad previously posted this but did not clarify what it was I was looking to find. Sorry </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178662 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=178662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Problem 1:  Factor the denominator in the right hand rational expression:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 12x\ +\ 36\ =\ (x\ -\ 6)^2\">\r<BR>\n" );
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document.write( "So the left hand fraction has one factor of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ -\ 6\"> and the right hand fraction has 2 such factors.  The LCD is the product of all the factors with duplicates removed.  Hence, the LCD is just:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ 6)^2\ =\ x^2\ -\ 12x\ +\ 36\">\r<BR>\n" );
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document.write( "If I had to continue to manipulate these rational expressions, I would leave the LCD expressed as the squared binomial.\r<BR>\n" );
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document.write( "Problem 2:\r<BR>\n" );
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document.write( "The first denominator has one factor of 7, one factor of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\">, and five factors of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\">\r<BR>\n" );
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document.write( "The second denominator has one factor of 7, three factors of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\">, and three factors of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\">.\r<BR>\n" );
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document.write( "At most you have:  one factor of 7, three factors of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\">, and five factors of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\">.\r<BR>\n" );
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document.write( "Hence, your LCD is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 7a^3b^5\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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