document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103798>Question 103798</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495041440/algebrahomeworkh>beginning and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> factor the trinomial.\r<BR>\n" );
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document.write( "m^2 + 4mn - 12n^2\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75457 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=75457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First think of two numbers that multiply to -12 (the last coefficient) and add to 4 (the second coefficient)\r<BR>\n" );
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document.write( "So after going through a list of numbers we get the numbers 6 and -2. These numbers both multiply to -12 and add to 4 (ie -6+2=4 and -6*2=-12)\r<BR>\n" );
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document.write( "So now rewrite the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2+%2B+4mn+-+12n%5E2 ALIGN=MIDDLE  ALT=\"m%5E2+%2B+4mn+-+12n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by replacing the 4mn with 6mn-2mn (remember they add to 4)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2+%2B+6mn+-2mn-+12n%5E2 ALIGN=MIDDLE  ALT=\"m%5E2+%2B+6mn+-2mn-+12n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m%5E2+%2B+6mn%29%2B%28+-2mn-+12n%5E2%29 ALIGN=MIDDLE  ALT=\"%28m%5E2+%2B+6mn%29%2B%28+-2mn-+12n%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%28m+%2B+6n%29-2n%28+m%2B+6n%29 ALIGN=MIDDLE  ALT=\"m%28m+%2B+6n%29-2n%28+m%2B+6n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF out of each group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m-2n%29%28m+%2B+6n%29 ALIGN=MIDDLE  ALT=\"%28m-2n%29%28m+%2B+6n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2+%2B+4mn+-+12n%5E2 ALIGN=MIDDLE  ALT=\"m%5E2+%2B+4mn+-+12n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m-2n%29%28m+%2B+6n%29 ALIGN=MIDDLE  ALT=\"%28m-2n%29%28m+%2B+6n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Notice how <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m-2n%29%28m+%2B+6n%29 ALIGN=MIDDLE  ALT=\"%28m-2n%29%28m+%2B+6n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2+%2B+4mn+-+12n%5E2 ALIGN=MIDDLE  ALT=\"m%5E2+%2B+4mn+-+12n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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