document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=520369>Question 520369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> OK. I have 6(t+w)to the second +11(t+w)-10\r<BR>\n" );
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document.write( "The book gives me this answer (3t+3w-2)(2t+2w+5)I can see where the numbers are from the original equation but I don't see how to get there. How would you determine that you would not use a (nx+b)(nx-c) format and you would have to use 3 numbers in each set? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346039 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=346039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I think that you are saying you have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6(t\ +\ w)^2\ +\ 11(t\ +\ w)\ -\ 10\">\r<BR>\n" );
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document.write( "And you want to factor it.\r<BR>\n" );
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document.write( "What I would do, and this is just me, would make a simple substitution so that the quadratic doesn't look quite so ugly.  Like this:\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large u\ =\ t\ +\ w\">, then substitute:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6u^2\ +\ 11u\ -\ 10\">\r<BR>\n" );
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document.write( "Which factors rather tidily to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (3u\ -\ 2)(2u\ +\ 5)\">\r<BR>\n" );
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document.write( "Then substitute back:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(3(t\ +\ w)\ -\ 2\right)\left(2(t\ +\ w)\ +\ 5\right)\">\r<BR>\n" );
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document.write( "Then distribute:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(3t\ +\ 3w\ -\ 2\right)\left(2t\ +\ 2w\ +\ 5\right)\">\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" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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