document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107084>Question 107084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide the following fractions.\r<BR>\n" );
document.write( "\n" );
document.write( "16x/4x^2-16 divided by 4x-24/x^2- 4x -12<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77910 by </B><A HREF=/tutors/aboutme.mpl?userid=Annabelle1><B>Annabelle1(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Annabelle1><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=77910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> facrorise all components of this question first.\r<BR>\n" );
document.write( "\n" );
document.write( "4x^2-16 =4(x^2-4)= 4(x-2)(x+2)       (differnce of 2 squares)<BR>\n" );
document.write( "4x-24=4(x-6)<BR>\n" );
document.write( "x^2-4x-12= (x-6)(x+2)\r<BR>\n" );
document.write( "\n" );
document.write( "when we divide two fractions, we can flip the second one up-side-down and multiply\r<BR>\n" );
document.write( "\n" );
document.write( "so we have:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%2F%284%28x-2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"16x%2F%284%28x-2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplied by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-6%29%28x%2B2%29%29%2F%284%28x-6%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-6%29%28x%2B2%29%29%2F%284%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816x%28x-6%29%28x%2B2%29%29%2F%2816%28x-2%29%28x%2B2%29%28x-6%29%29 ALIGN=MIDDLE  ALT=\"%2816x%28x-6%29%28x%2B2%29%29%2F%2816%28x-2%29%28x%2B2%29%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "a lot of terms now cancel like the 16, x-6, x+2\r<BR>\n" );
document.write( "\n" );
document.write( "we are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"x%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );