document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=370115>Question 370115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x^2 - 12 / x^2 + 2x - 8 divided by 6x + 18 / x + 4\r<BR>\n" );
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document.write( "Divide as indicated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263773 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=263773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283x%5E2+-+12%29%2F%28x%5E2+%2B+2x+-+8%29%29%2F%28%286x+%2B+18%29%2F%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%28%283x%5E2+-+12%29%2F%28x%5E2+%2B+2x+-+8%29%29%2F%28%286x+%2B+18%29%2F%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To divide a fraction by a fraction we change it to multiplication and invert the divisor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283x%5E2+-+12%29%2F%28x%5E2+%2B+2x+-+8%29%29%2A%28%28x+%2B+4%29%2F%286x+%2B+18%29%29 ALIGN=MIDDLE  ALT=\"%28%283x%5E2+-+12%29%2F%28x%5E2+%2B+2x+-+8%29%29%2A%28%28x+%2B+4%29%2F%286x+%2B+18%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, as you probably learned when first multiplying fractions, it is to your advantage to cancel, if possible, before multiplying. Since only factors may be canceled, I will now factor each numerator and denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%28x%5E2+-+4%29%29%2F%28%28x%2B4%29%28x-2%29%29%29%2A%28%281%28x+%2B+4%29%29%2F%286%28x+%2B+3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%28x%2B2%29%28x-2%29%29%2F%28%28x%2B4%29%28x-2%29%29%29%2A%28%281%28x+%2B+4%29%29%2F%282%2A3%28x+%2B+3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can cancel the factors that are common to both the numerators and denominators:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28cross%283%29%28x%2B2%29cross%28%28x-2%29%29%29%2F%28cross%28%28x%2B4%29%29cross%28%28x-2%29%29%29%29%2A%28%281cross%28%28x+%2B+4%29%29%29%2F%282%2Across%283%29%28x+%2B+3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which leaves us with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%2F1%29%2A%281%2F%282%2A%28x+%2B+3%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%2F1%29%2A%281%2F%282%2A%28x+%2B+3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now the multiplying is much easier than if we had not canceled first:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%282x%2B6%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%282x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );