document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35705>Question 35705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can some one please help explain these in detail? I am so lost. Thank you\r<BR>\n" );
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document.write( "Factor completely:<BR>\n" );
document.write( "9x^2 -16y^2\r<BR>\n" );
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document.write( "3x^2-2x-8\r<BR>\n" );
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document.write( "3x^2 + 12x +12\r<BR>\n" );
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document.write( "Thanks again for all your help!\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21830 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the variety of factoring problems you have here, you probably need to visit my website by clicking on my user name \"rapaljer\" anywhere in algebra.com.  Then go to Basic Algebra, and look for \"Samples from Basic Algebra: One Step at a Time\".  Click on Chapter 2, and see all the sections on factoring.  This contains all the explanation, examples, exercises, and answers and it's all FREE.  Check it out.  Many if not all of these are also Lesson Plans on algebra.com if you want to look for them here.\r<BR>\n" );
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document.write( "Now, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+16y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2+-+16y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a difference of squares.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x-4y%29%283x%2B4y%29+ ALIGN=MIDDLE  ALT=\"+%283x-4y%29%283x%2B4y%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Secondly, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-2x-8 ALIGN=MIDDLE  ALT=\"3x%5E2-2x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > comes from a section that I call \"Advanced Trinomial Factoring\".  This is a hard one for most people.  You have to start off with a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2 ALIGN=MIDDLE  ALT=\"3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can only be factored into 3x*x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x+____%29%2A%28x______%29+ ALIGN=MIDDLE  ALT=\"+%283x+____%29%2A%28x______%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The last times last must come out to a -8, so I would try a 4 times 2 or a 2 times 4 combination.  By trial and error (see my website for details!), it turns out that the 4 should come first and the 2 should go second like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x++%2B+4%29%2A%28x++-++2%29+ ALIGN=MIDDLE  ALT=\"+%283x++%2B+4%29%2A%28x++-++2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The outer times outer is -6x and the inner times inner is 4x for a total of -2x, which checks for the middle term.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+12x+%2B12 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+12x+%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a problem that turns out to be a perfect square trinomial (in my website, this is in with the difference of squares section).<BR>\n" );
document.write( "You must first take out the common factor which is 3:  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2%2B+4x%2B4%29 ALIGN=MIDDLE  ALT=\"3%28x%5E2%2B+4x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, factor the trinomial:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B2%29%28x%2B2%29+=+3%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"3%28x%2B2%29%28x%2B2%29+=+3%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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