document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173894>Question 173894</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need and explanation for two questions I posted up for help yesterday. Answers and steps were given but the answers didn't appear to be correct:\r<BR>\n" );
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document.write( "Both of these say Factor Completely:\r<BR>\n" );
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document.write( "12x^2 + 13x +3. The answer is (4x + 3)(3x + 1) But I do not understand we got 13 x out of 3 and 3x?? Wouldn't that be 9x?? \r<BR>\n" );
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document.write( "And the second is exactly the same:\r<BR>\n" );
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document.write( "16x^4 - 40x^2 + 9. The answer was given as (4x^2 - 1)(4x^2 - 9) which can further be factored, I understand.But ok same question, since when does 1 . 4x^2 equal 40x^2? That would be 4x^2? Can someone please explain to me the step I am missing because I really feel like I am finally getting this stuff and then WHAM!!! Thanks for the help;-) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128774 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=128774\">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=%284x%2B3%29%283x%2B1%29 ALIGN=MIDDLE  ALT=\"%284x%2B3%29%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use FOIL:\r<BR>\n" );
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document.write( "First:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%284x%29%2B3%29%28highlight%283x%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28highlight%284x%29%2B3%29%28highlight%283x%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2A3x=red%2812x%5E2%29 ALIGN=MIDDLE  ALT=\"4x%2A3x=red%2812x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Outside:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%284x%29%2B3%29%283x%2Bhighlight%281%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%284x%29%2B3%29%283x%2Bhighlight%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2A1=green%284x%29 ALIGN=MIDDLE  ALT=\"4x%2A1=green%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Inside: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2Bhighlight%283%29%29%28highlight%283x%29%2B1%29 ALIGN=MIDDLE  ALT=\"%284x+%2Bhighlight%283%29%29%28highlight%283x%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3x=green%289x%29 ALIGN=MIDDLE  ALT=\"3%2A3x=green%289x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Last:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2Bhighlight%283%29%29+%283x%2Bhighlight%281%29%29 ALIGN=MIDDLE  ALT=\"%284x+%2Bhighlight%283%29%29+%283x%2Bhighlight%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A1=blue%283%29 ALIGN=MIDDLE  ALT=\"3%2A1=blue%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add the first degree terms <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%284x%2B9x%29=green%2813x%29 ALIGN=MIDDLE  ALT=\"green%284x%2B9x%29=green%2813x%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=%284x%2B3%29%283x%2B1%29=red%2812x%5E2%29%2Bgreen%2813x%29%2Bblue%283%29 ALIGN=MIDDLE  ALT=\"%284x%2B3%29%283x%2B1%29=red%2812x%5E2%29%2Bgreen%2813x%29%2Bblue%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and vice versa, of course.\r<BR>\n" );
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document.write( "The other problem works the same way.  4 times -9 is -36 plus -1 times 4 is -4 and -36 plus -4 is -40. </SPAN>\n" );
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