document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221983>Question 221983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am trying to figure out if I am on the right track. For some reason I just can't understand how to factor. Thanks in advance.\r<BR>\n" );
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document.write( "2t^2 y^4 - 32t^2 (I think at this point I can factor out the t^2)\r<BR>\n" );
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document.write( "t^2 (2y^4 - 32) (do I factor the parentheses at this point? I'm not sure where to go from here.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166317 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=166317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Missed it by <i>THAT</i> much.\r<BR>\n" );
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document.write( "Factoring out the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t^2\"> was certainly the right thing to do, but if you notice, the numerical coefficients on the two original terms have the factor 2 in common.  Hence, the correct first step would have been to factor out <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2t^2\"> leaving you with:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2t^2(y^4-16)\">\r<BR>\n" );
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document.write( "But you aren't done, not by a long shot.\r<BR>\n" );
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document.write( "Notice that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y^4-16\"> is the difference of two squares, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2t^2(y^2-4)(y^2+4)\">\r<BR>\n" );
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document.write( "And then notice that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y^2-4\"> is also the difference of two squares, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2t^2(y-2)(y+2)(y^2+4)\">\r<BR>\n" );
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document.write( "And that's as far as you can go presuming you are confining yourself to the real numbers.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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