document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156111>Question 156111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. thank you all so much for your invaluable help. I would like to SEE how I can FACTOR this problem, please help. Thank you!\r<BR>\n" );
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document.write( "5u^3 - 80uy^2\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 #114959 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=114959\">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=5u%5E3-80uy%5E2 ALIGN=MIDDLE  ALT=\"5u%5E3-80uy%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5u%28u%5E2-16y%5E2%29 ALIGN=MIDDLE  ALT=\"5u%28u%5E2-16y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5u ALIGN=MIDDLE  ALT=\"5u\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5u%28%28u%29%5E2-16y%5E2%29 ALIGN=MIDDLE  ALT=\"5u%28%28u%29%5E2-16y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2 ALIGN=MIDDLE  ALT=\"u%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u%29%5E2 ALIGN=MIDDLE  ALT=\"%28u%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5u%28%28u%29%5E2-%284y%29%5E2%29 ALIGN=MIDDLE  ALT=\"5u%28%28u%29%5E2-%284y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16y%5E2 ALIGN=MIDDLE  ALT=\"16y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y%29%5E2 ALIGN=MIDDLE  ALT=\"%284y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Notice how we have a difference of squares. So let's use the difference of squares formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2-B%5E2=%28A%2BB%29%28A-B%29 ALIGN=MIDDLE  ALT=\"A%5E2-B%5E2=%28A%2BB%29%28A-B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to factor the expression:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5u%28u%2B4y%29%28u-4y%29 ALIGN=MIDDLE  ALT=\"5u%28u%2B4y%29%28u-4y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2-16y%5E2 ALIGN=MIDDLE  ALT=\"u%5E2-16y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u%2B4y%29%28u-4y%29 ALIGN=MIDDLE  ALT=\"%28u%2B4y%29%28u-4y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by using the difference of squares.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5u%5E3-80uy%5E2 ALIGN=MIDDLE  ALT=\"5u%5E3-80uy%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5u%28u%2B4y%29%28u-4y%29 ALIGN=MIDDLE  ALT=\"5u%28u%2B4y%29%28u-4y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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