document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156570>Question 156570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student was given the following problem: 4x^2 -9/4x^2 +12x + 9 divided by 6x -9 . He states his answer to the problem as 3(2x -3). Is he correct? If not, explain why. What would you suggest he do to solve the problem?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115324 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=115324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> my solution looks a little different - here's why.................\r<BR>\n" );
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document.write( "                        4x^2 - 9 / 4x^2+12x+9 / 6x-9\r<BR>\n" );
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document.write( "                             4x^2-9 / (4x^2+12x+9 * 6x-9)\r<BR>\n" );
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document.write( "because a/b/c = (a/b) * (1/c) = a/(b*c)\r<BR>\n" );
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document.write( "factoring we get...............\r<BR>\n" );
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document.write( "                           (2x-3) * (2x+3) / ( (2x+3) * (2x+3) * 3 * (2x-3) )\r<BR>\n" );
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document.write( "dividing out like terms we get ................\r<BR>\n" );
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document.write( "                          1 / ( (2x+3) * 3 )\r<BR>\n" );
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document.write( "because one (2x-3) on top cancels out one (2x-3) on bottom and one (2x+3) on top cancels out one (2x+3) on bottom.\r<BR>\n" );
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document.write( "so the answer appears to be 1 divided by (2x+3)*3.\r<BR>\n" );
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