document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710748>Question 710748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please describe and correct the error:<BR>\n" );
document.write( "(r^2-7r+12/r+4)/(r^2-7r+12/r^2+6r+8)= {(r-3)(r-4)/r+4)}/(r-4)(r-3)/(r+2)(r+4) = <BR>\n" );
document.write( "r+4/(r-3)(r-4)x (r-4)(r-3)/(r+2)(r+4)= 1/r+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437324 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=437324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The error is that when the division was changed to a multiplication, the first fraction was inverted. It should be the second fraction (only) that gets inverted.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r%5E2-7r%2B12%29%2F%28r%2B4%29%29%2F%28%28r%5E2-7r%2B12%29%2F%28r%5E2%2B6r%2B8%29%29 ALIGN=MIDDLE  ALT=\"%28%28r%5E2-7r%2B12%29%2F%28r%2B4%29%29%2F%28%28r%5E2-7r%2B12%29%2F%28r%5E2%2B6r%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28r-3%29%28r-4%29%29%2F%28r%2B4%29%29%2F%28%28%28r-4%29%28r-3%29%29%2F%28%28r%2B2%29%28r%2B4%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So we are good up to here. But with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r%2B4%29%2F%28%28r-3%29%28r-4%29%29%29+%2A+%28%28%28r-4%29%28r-3%29%29%2F%28%28r%2B2%29%28r%2B4%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we have inverted the wrong fraction. It should be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28r-3%29%28r-4%29%29%2F%28r%2B4%29%29%2A%28%28%28r%2B2%29%28r%2B4%29%29%2F%28%28r-4%29%28r-3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After canceling we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2B2%29%2F1 ALIGN=MIDDLE  ALT=\"%28r%2B2%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to just:<BR>\n" );
document.write( "r+2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );