document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57356>Question 57356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1st fraction) x^3+ 2x^2/x^3+64 divided by (2nd fraction)4x^2/x^2-4x+16\r<BR>\n" );
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document.write( "Thank you for your time!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39090 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=39090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for factoring the sum of perfect cubes is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E3%2Bv%5E3=%28u%2Bv%29%28u%5E2-uv%2Bv%5E2%29 ALIGN=MIDDLE  ALT=\"u%5E3%2Bv%5E3=%28u%2Bv%29%28u%5E2-uv%2Bv%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We'll need that to factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B64 ALIGN=MIDDLE  ALT=\"x%5E3%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" >, u=x and v=4<BR>\n" );
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document.write( "Let's get started.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B+2x%5E2%29%2F%28x%5E3%2B64%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B+2x%5E2%29%2F%28x%5E3%2B64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2F%28x%5E2-4x%2B16%29 ALIGN=MIDDLE  ALT=\"4x%5E2%2F%28x%5E2-4x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > First flip and multiply:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E3%2B2x%5E2%29%2F%28x%5E3%2B64%29%29%2A%28%28x%5E2-4x%2B16%29%2F4x%5E2%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E3%2B2x%5E2%29%2F%28x%5E3%2B64%29%29%2A%28%28x%5E2-4x%2B16%29%2F4x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor everything.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%28x%2B2%29%2F%28%28x%2B4%29%28x%5E2-4x%2B16%29%29%2A%28%28x%5E2-4x%2B16%29%2F4x%5E2%29 ALIGN=MIDDLE  ALT=\"x%5E2%28x%2B2%29%2F%28%28x%2B4%29%28x%5E2-4x%2B16%29%29%2A%28%28x%5E2-4x%2B16%29%2F4x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Cancel the things that match between the numerators and the denominators.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28x%5E2%29%28x%2B2%29%2F%28%28x%2B4%29%2Across%28%28x%5E2-4x%2B16%29%29%29%29%2A%28cross%28%28x%5E2-4x%2B16%29%29%2F%284%2Across%28x%5E2%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%28x%2B2%29%2F%28x%2B4%29%29%2A%281%2F4%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%2F%28x%2B4%29%29%2A%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply what's left:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%284%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%284%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Most teachers let you stop here, but you can distribute the 4 and get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%284x%2B16%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%284x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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