document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103908>Question 103908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to factor this problem.\r<BR>\n" );
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document.write( "8x^3y^2 - 18xy^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75580 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=75580\">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=8x%5E3y%5E2+-+18xy%5E4 ALIGN=MIDDLE  ALT=\"8x%5E3y%5E2+-+18xy%5E4\"   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=2xy%5E2%284x%5E2+-+9y%5E2%29 ALIGN=MIDDLE  ALT=\"2xy%5E2%284x%5E2+-+9y%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=2xy%5E2 ALIGN=MIDDLE  ALT=\"2xy%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now lets factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+9y%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2+-+9y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let a=2x and b=3y\r<BR>\n" );
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document.write( "Notice we get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+9y%5E2=%282x%29%5E2+-+%283y%29%5E2=a%5E2-b%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2+-+9y%5E2=%282x%29%5E2+-+%283y%29%5E2=a%5E2-b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So let's use the difference of squares to factor (remember the difference of squares formula is <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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E2+-+%283y%29%5E2=%282x%2B3y%29%282x-3y%29 ALIGN=MIDDLE  ALT=\"%282x%29%5E2+-+%283y%29%5E2=%282x%2B3y%29%282x-3y%29\"   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=2xy%5E2%282x%2B3y%29%282x-3y%29 ALIGN=MIDDLE  ALT=\"2xy%5E2%282x%2B3y%29%282x-3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+9y%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2+-+9y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy%5E2%284x%5E2+-+9y%5E2%29 ALIGN=MIDDLE  ALT=\"2xy%5E2%284x%5E2+-+9y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3y%29%282x-3y%29 ALIGN=MIDDLE  ALT=\"%282x%2B3y%29%282x-3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E3y%5E2+-+18xy%5E4 ALIGN=MIDDLE  ALT=\"8x%5E3y%5E2+-+18xy%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy%5E2%282x%2B3y%29%282x-3y%29 ALIGN=MIDDLE  ALT=\"2xy%5E2%282x%2B3y%29%282x-3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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