document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189170>Question 1189170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify and state the values of the variables where the expressions are undefined.\r<BR>\n" );
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document.write( "[3c / (c^2-25)] x [(c-5) / (6c^2-3c)] / [2 / (c+5)] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820442 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The expression is undefined wherever the denominator of any fraction is zero, BEFORE simplifying.  The given expression is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283c%2F%28c%5E2-25%29%29%28%28c-5%29%2F%286c%5E2-3c%29%29%29%2F%282%2F%28c%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%283c%2F%28c%5E2-25%29%29%28%28c-5%29%2F%286c%5E2-3c%29%29%29%2F%282%2F%28c%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Factor each denominator....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283c%2F%28%28c%2B5%29%28c-5%29%29%29%28%28c-5%29%2F%28%283%29%28c%29%282c-1%29%29%29%29%2F%282%2F%28c%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Oberve that the values of c that make any of the denominators equal to 0 are -5, 5, 0, and 1/2.<br><BR>\n" );
document.write( "To simplify, cancel the common factors 3, c, and (c-5) in the numerator of the complex fraction...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%28%28c%2B5%29%282c-1%29%29%29%2F%282%2F%28c%2B5%29%29 ALIGN=MIDDLE  ALT=\"%281%2F%28%28c%2B5%29%282c-1%29%29%29%2F%282%2F%28c%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "... then \"flip and multiply\":<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%28%28c%2B5%29%282c-1%29%29%29%2A%28%28c%2B5%29%2F2%29+=+1%2F%282%282c-1%29%29+=+1%2F%284c-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283c%2F%28c%5E2-25%29%29%28%28c-5%29%2F%286c%5E2-3c%29%29%29%2F%282%2F%28c%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%283c%2F%28c%5E2-25%29%29%28%28c-5%29%2F%286c%5E2-3c%29%29%29%2F%282%2F%28c%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%284c-2%29 ALIGN=MIDDLE  ALT=\"1%2F%284c-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; c not equal to -5, 5, 0, or 1/2<br><BR>\n" );
document.write( " </SPAN>\n" );
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