document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39795>Question 39795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me solve this problem: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2%2B4xy%5E2%2B4y%5E4 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2%2B4xy%5E2%2B4y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I tried regrouping the problem like this: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B4xy%5E2%2B4y%5E4%29-y%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B4xy%5E2%2B4y%5E4%29-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so I factored it like this: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2y%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but what do I do with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y%5E2 ALIGN=MIDDLE  ALT=\"-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "Any help would be appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25220 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=25220\">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=%28x%5E2%2B4xy%5E2%2B4y%5E4%29-y%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B4xy%5E2%2B4y%5E4%29-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You have done well.\r<BR>\n" );
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document.write( "You now have (x+(2y^2)^2 - y^2\r<BR>\n" );
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document.write( "This is the difference of squares: just like a^2-b^2<BR>\n" );
document.write( "which factors into (a+b)(a-b)\r<BR>\n" );
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document.write( "So, you get <BR>\n" );
document.write( "  (x+2y^2-y)(x+2y^2+y)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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